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101842372426816 = 267311730954097
BaseRepresentation
bin10111001010000000000110…
…011011100111110001000000
3111100121000222001002000000201
4113022000012123213301000
5101322041134320124231
61000333423501454544
730310603633320340
oct2712000633476100
9440530861060021
10101842372426816
112a4a512023421a
12b509898571454
1344a9904ac3b48
141b212a8cb0d20
15bb924923b161
hex5ca0066e7c40

101842372426816 has 56 divisors (see below), whose sum is σ = 231706601433216. Its totient is φ = 43506387793920.

The previous prime is 101842372426799. The next prime is 101842372426819. The reversal of 101842372426816 is 618624273248101.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (101842372426819) 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 7 ways as a sum of consecutive naturals, for example, 365337721 + ... + 365616376.

It is an arithmetic number, because the mean of its divisors is an integer number (4137617882736).

Almost surely, 2101842372426816 is an apocalyptic number.

101842372426816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101842372426816 is an abundant number, since it is smaller than the sum of its proper divisors (129864229006400).

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

101842372426816 is an equidigital number, since it uses as much as digits as its factorization.

101842372426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730954427 (or 730954417 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 101842372426816 in words is "one hundred one trillion, eight hundred forty-two billion, three hundred seventy-two million, four hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 311 448 622 1244 2177 2488 4354 4976 8708 9952 17416 19904 34832 69664 139328 730954097 1461908194 2923816388 5116678679 5847632776 10233357358 11695265552 20466714716 23390531104 40933429432 46781062208 81866858864 163733717728 227326724167 327467435456 454653448334 909306896668 1591287069169 1818613793336 3182574138338 3637227586672 6365148276676 7274455173344 12730296553352 14548910346688 25460593106704 50921186213408 101842372426816