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105552264246 = 231113745916493
BaseRepresentation
bin110001001001101100…
…1111011110000110110
3101002110010012120221020
41202103121323300312
53212132334423441
6120253503202010
710424453304552
oct1422331736066
9332403176836
10105552264246
1140845557440
12185592a6306
139c51bc22c0
145174600862
152b2b8cee66
hex189367bc36

105552264246 has 64 divisors (see below), whose sum is σ = 248059203840. Its totient is φ = 29519360640.

The previous prime is 105552264227. The next prime is 105552264253. The reversal of 105552264246 is 642462255501.

It is a happy number.

It is a super-2 number, since 2×1055522642462 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105552264198 and 105552264207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6391576 + ... + 6408068.

It is an arithmetic number, because the mean of its divisors is an integer number (3875925060).

Almost surely, 2105552264246 is an apocalyptic number.

105552264246 is an abundant number, since it is smaller than the sum of its proper divisors (142506939594).

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

105552264246 is a wasteful number, since it uses less digits than its factorization.

105552264246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23981.

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 105552264246 in words is "one hundred five billion, five hundred fifty-two million, two hundred sixty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 7459 14918 16493 22377 32986 44754 49479 82049 96967 98958 164098 181423 193934 214409 246147 290901 362846 428818 492294 544269 581802 643227 1066637 1088538 1286454 2133274 2358499 3199911 4716998 6399822 7075497 14150994 123021287 246042574 369063861 738127722 1353234157 1599276731 2706468314 3198553462 4059702471 4797830193 8119404942 9595660386 17592044041 35184088082 52776132123 105552264246