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22402688029056 = 273231627315413
BaseRepresentation
bin1010001100000000010000…
…10000110001000110000000
32221022200020211212202021100
411012000020100301012000
510414021201113412211
6115351353001054400
74501353331215246
oct506001020610600
987280224782240
1022402688029056
117157a213a0235
12261995aa87400
13c6674503b17a
1457641dca8796
1528cb2a72a156
hex146008431180

22402688029056 has 96 divisors (see below), whose sum is σ = 66545619117120. Its totient is φ = 7226673546240.

The previous prime is 22402688029049. The next prime is 22402688029091. The reversal of 22402688029056 is 65092088620422.

It is a happy number.

22402688029056 is a `hidden beast` number, since 2 + 2 + 40 + 268 + 8 + 0 + 290 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×224026880290562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22402688028993 and 22402688029011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313621995 + ... + 313693418.

It is an arithmetic number, because the mean of its divisors is an integer number (693183532470).

Almost surely, 222402688029056 is an apocalyptic number.

It is an amenable number.

22402688029056 is an abundant number, since it is smaller than the sum of its proper divisors (44142931088064).

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

22402688029056 is a wasteful number, since it uses less digits than its factorization.

22402688029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627315464 (or 627315449 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 22402688029056 in words is "twenty-two trillion, four hundred two billion, six hundred eighty-eight million, twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 35712 627315413 1254630826 1881946239 2509261652 3763892478 5018523304 5645838717 7527784956 10037046608 11291677434 15055569912 19446777803 20074093216 22583354868 30111139824 38893555606 40148186432 45166709736 58340333409 60222279648 77787111212 80296372864 90333419472 116680666818 120444559296 155574222424 175021000227 180666838944 233361333636 240889118592 311148444848 350042000454 361333677888 466722667272 622296889696 700084000908 722667355776 933445334544 1244593779392 1400168001816 1866890669088 2489187558784 2800336003632 3733781338176 5600672007264 7467562676352 11201344014528 22402688029056