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11052544156400 = 24521072503103171
BaseRepresentation
bin1010000011010101111011…
…1101111110001011110000
31110010121112210202101102002
42200311132331332023300
52422041102301001100
635301245123113132
72220343230143555
oct240653675761360
943117483671362
1011052544156400
1135813a304535a
1212a60828127a8
136223342b3866
142a2d35b2ca2c
1514277e59d2d5
hexa0d5ef7e2f0

11052544156400 has 120 divisors (see below), whose sum is σ = 26812870902144. Its totient is φ = 4377907526400.

The previous prime is 11052544156393. The next prime is 11052544156427. The reversal of 11052544156400 is 465144525011.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107076815 + ... + 107179985.

Almost surely, 211052544156400 is an apocalyptic number.

11052544156400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11052544156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406435451072).

11052544156400 is an abundant number, since it is smaller than the sum of its proper divisors (15760326745744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11052544156400 is a wasteful number, since it uses less digits than its factorization.

11052544156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105799 (or 105788 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The spelling of 11052544156400 in words is "eleven trillion, fifty-two billion, five hundred forty-four million, one hundred fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 856 1070 1712 2140 2503 2675 4280 5006 5350 8560 10012 10700 12515 20024 21400 25030 40048 42800 50060 62575 100120 103171 125150 200240 206342 250300 267821 412684 500600 515855 535642 825368 1001200 1031710 1071284 1339105 1650736 2063420 2142568 2579275 2678210 4126840 4285136 5158550 5356420 6695525 8253680 10317100 10712840 11039297 13391050 20634200 21425680 22078594 26782100 41268400 44157188 53564200 55196485 88314376 107128400 110392970 176628752 220785940 258237013 275982425 441571880 516474026 551964850 883143760 1032948052 1103929700 1291185065 2065896104 2207859400 2582370130 4131792208 4415718800 5164740260 6455925325 10329480520 12911850650 20658961040 25823701300 27631360391 51647402600 55262720782 103294805200 110525441564 138156801955 221050883128 276313603910 442101766256 552627207820 690784009775 1105254415640 1381568019550 2210508831280 2763136039100 5526272078200 11052544156400