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34436557472 = 2573151233419
BaseRepresentation
bin100000000100100101…
…000010101010100000
310021212221110101002112
4200010211002222200
51031011224314342
623453034534452
72326240623512
oct400445025240
9107787411075
1034436557472
11136715a2359
126810897428
13332a587a35
14194975bbb2
15d68384682
hex804942aa0

34436557472 has 96 divisors (see below), whose sum is σ = 69643566720. Its totient is φ = 16757452800.

The previous prime is 34436557457. The next prime is 34436557481. The reversal of 34436557472 is 27475563443.

It is a self number, because there is not a number n which added to its sum of digits gives 34436557472.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82187279 + ... + 82187697.

It is an arithmetic number, because the mean of its divisors is an integer number (725453820).

Almost surely, 234436557472 is an apocalyptic number.

34436557472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34436557472 is an abundant number, since it is smaller than the sum of its proper divisors (35207009248).

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

34436557472 is a wasteful number, since it uses less digits than its factorization.

34436557472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 50.

The spelling of 34436557472 in words is "thirty-four billion, four hundred thirty-six million, five hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 73 146 151 233 292 302 419 466 584 604 838 932 1168 1208 1676 1864 2336 2416 3352 3728 4832 6704 7456 11023 13408 17009 22046 30587 34018 35183 44092 61174 63269 68036 70366 88184 97627 122348 126538 136072 140732 176368 195254 244696 253076 272144 281464 352736 390508 489392 506152 544288 562928 781016 978784 1012304 1125856 1562032 2024608 2568359 3124064 4618637 5136718 7126771 9237274 10273436 14253542 14741677 18474548 20546872 28507084 29483354 36949096 41093744 57014168 58966708 73898192 82187488 114028336 117933416 147796384 228056672 235866832 471733664 1076142421 2152284842 4304569684 8609139368 17218278736 34436557472