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105561426555 = 33513499120539
BaseRepresentation
bin110001001001111110…
…0111000101001111011
3101002110202110002021000
41202103330320221323
53212142211122210
6120254431420043
710424624215044
oct1422374705173
9332422402230
10105561426555
114084a7451a2
1218560384623
139c53a7c7a0
1451759078cb
152b2c5deac0
hex1893f38a7b

105561426555 has 64 divisors (see below), whose sum is σ = 202507200000. Its totient is φ = 51864126336.

The previous prime is 105561426533. The next prime is 105561426563. The reversal of 105561426555 is 555624165501.

It is a happy number.

105561426555 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 614 + 26 + 5 + 5 + 5 = 666.

It is not a de Polignac number, because 105561426555 - 29 = 105561426043 is a prime.

It is a super-2 number, since 2×1055614265552 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105561426555.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 815476 + ... + 936014.

It is an arithmetic number, because the mean of its divisors is an integer number (3164175000).

Almost surely, 2105561426555 is an apocalyptic number.

105561426555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105561426555 is a deficient number, since it is larger than the sum of its proper divisors (96945773445).

105561426555 is a wasteful number, since it uses less digits than its factorization.

105561426555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121065 (or 121059 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 105561426555 in words is "one hundred five billion, five hundred sixty-one million, four hundred twenty-six thousand, five hundred fifty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 499 585 1497 1755 2495 4491 6487 7485 13473 19461 22455 32435 58383 67365 97305 120539 175149 291915 361617 602695 875745 1084851 1567007 1808085 3254553 4701021 5424255 7835035 14103063 16272765 23505105 42309189 60148961 70515315 180446883 211545945 300744805 541340649 781936493 902234415 1624021947 2345809479 2706703245 3909682465 7037428437 8120109735 11729047395 21112285311 35187142185 105561426555