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170921106096 = 24313809338581
BaseRepresentation
bin1001111100101110110…
…0010001101010110000
3121100011210012211010220
42133023230101222300
510300021300343341
6210304200253040
715230404300446
oct2371354215260
9540153184126
10170921106096
116653a565884
1229161171180
131316ba30490
1483b6128b96
1546a5645a66
hex27cbb11ab0

170921106096 has 80 divisors (see below), whose sum is σ = 476100465120. Its totient is φ = 52525946880.

The previous prime is 170921106073. The next prime is 170921106127. The reversal of 170921106096 is 690601129071.

170921106096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1709211060962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 335526 + ... + 674106.

It is an arithmetic number, because the mean of its divisors is an integer number (5951255814).

Almost surely, 2170921106096 is an apocalyptic number.

170921106096 is a gapful number since it is divisible by the number (16) 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 170921106096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238050232560).

170921106096 is an abundant number, since it is smaller than the sum of its proper divisors (305179359024).

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

170921106096 is a wasteful number, since it uses less digits than its factorization.

170921106096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339414 (or 339408 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 170921106096 in words is "one hundred seventy billion, nine hundred twenty-one million, one hundred six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 809 1618 2427 3236 4854 6472 9708 10517 12944 19416 21034 31551 38832 42068 63102 84136 126204 168272 252408 338581 504816 677162 1015743 1354324 2031486 2708648 4062972 4401553 5417296 8125944 8803106 13204659 16251888 17606212 26409318 35212424 52818636 70424848 105637272 211274544 273912029 547824058 821736087 1095648116 1643472174 2191296232 3286944348 3560856377 4382592464 6573888696 7121712754 10682569131 13147777392 14243425508 21365138262 28486851016 42730276524 56973702032 85460553048 170921106096