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2136848004 = 2232414313359
BaseRepresentation
bin111111101011101…
…1011011010000100
312111220212010101200
41333113123122010
513334013114004
6552012022500
7103644623364
oct17727333204
95456763350
102136848004
119a7216595
124b7761a30
1328091cb05
14163b1c9a4
15c78e5239
hex7f5db684

2136848004 has 72 divisors (see below), whose sum is σ = 5547709440. Its totient is φ = 693091200.

The previous prime is 2136848003. The next prime is 2136848039. The reversal of 2136848004 is 4008486312.

It is a super-2 number, since 2×21368480042 = 9132238784397568032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2136848004.

It is not an unprimeable number, because it can be changed into a prime (2136848003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634477 + ... + 637835.

It is an arithmetic number, because the mean of its divisors is an integer number (77051520).

Almost surely, 22136848004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136848004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773854720).

2136848004 is an abundant number, since it is smaller than the sum of its proper divisors (3410861436).

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

2136848004 is a wasteful number, since it uses less digits than its factorization.

2136848004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2136848004 is about 46226.0533033051. The cubic root of 2136848004 is about 1288.0257451806.

The spelling of 2136848004 in words is "two billion, one hundred thirty-six million, eight hundred forty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 431 492 738 862 1293 1476 1724 2586 3359 3879 5172 6718 7758 10077 13436 15516 17671 20154 30231 35342 40308 53013 60462 70684 106026 120924 137719 159039 212052 275438 318078 413157 550876 636156 826314 1239471 1447729 1652628 2478942 2895458 4343187 4957884 5790916 8686374 13029561 17372748 26059122 52118244 59356889 118713778 178070667 237427556 356141334 534212001 712282668 1068424002 2136848004