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100436770040445 = 32523215594501153
BaseRepresentation
bin10110110101100011000010…
…000000000010101001111101
3111011121122212012012111020100
4112311203002000002221331
5101131024001112243240
6553340003140311313
730104213535214326
oct2665430200025175
9434548765174210
10100436770040445
112a002aa4341153
12b32139b0a2539
1344071ba608567
141ab32465d944d
15b928ce334e30
hex5b58c2002a7d

100436770040445 has 48 divisors (see below), whose sum is σ = 181668015809280. Its totient is φ = 51234920782848.

The previous prime is 100436770040443. The next prime is 100436770040479. The reversal of 100436770040445 is 544040077634001.

100436770040445 is a `hidden beast` number, since 1 + 0 + 0 + 43 + 67 + 70 + 0 + 40 + 445 = 666.

It is not a de Polignac number, because 100436770040445 - 21 = 100436770040443 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100436770040445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100436770040441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20062989 + ... + 24564141.

It is an arithmetic number, because the mean of its divisors is an integer number (3784750329360).

Almost surely, 2100436770040445 is an apocalyptic number.

100436770040445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100436770040445 is a deficient number, since it is larger than the sum of its proper divisors (81231245768835).

100436770040445 is a wasteful number, since it uses less digits than its factorization.

100436770040445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522746 (or 4522743 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 100436770040445 in words is "one hundred trillion, four hundred thirty-six billion, seven hundred seventy million, forty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 21559 64677 107795 194031 323385 495857 970155 1487571 2479285 4462713 4501153 7437855 13503459 22313565 22505765 40510377 67517295 103526519 202551885 310579557 517632595 931738671 1552897785 4658693355 97040357527 291121072581 485201787635 873363217743 1455605362905 2231928223121 4366816088715 6695784669363 11159641115605 20087354008089 33478923346815 100436770040445