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105001056010048 = 26112923322073291
BaseRepresentation
bin10111110111111101110110…
…101001001111111101000000
3111202210000002010111112011011
4113313331312221033331000
5102230314130314310143
61011152452541130304
731055035023634042
oct2767756651177500
9452700063445134
10105001056010048
1130502774822710
12b939aa9259994
134678731c28213
141bd0114925a92
15c214b9a87e9d
hex5f7f76a4ff40

105001056010048 has 112 divisors (see below), whose sum is σ = 236150672996160. Its totient is φ = 45884189388800.

The previous prime is 105001056010033. The next prime is 105001056010049. The reversal of 105001056010048 is 840010650100501.

It is a super-2 number, since 2×1050010560100482 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001056010049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6279718 + ... + 15793573.

Almost surely, 2105001056010048 is an apocalyptic number.

It is an amenable number.

105001056010048 is an abundant number, since it is smaller than the sum of its proper divisors (131149616986112).

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

105001056010048 is a wasteful number, since it uses less digits than its factorization.

105001056010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22073576 (or 22073566 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 105001056010048 in words is "one hundred five trillion, one billion, fifty-six million, ten thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 233 319 352 464 466 638 704 928 932 1276 1856 1864 2552 2563 3728 5104 5126 6757 7456 10208 10252 13514 14912 20416 20504 27028 41008 54056 74327 82016 108112 148654 164032 216224 297308 432448 594616 1189232 2378464 4756928 22073291 44146582 88293164 176586328 242806201 353172656 485612402 640125439 706345312 971224804 1280250878 1412690624 1942449608 2560501756 3884899216 5121003512 5143076803 7041379829 7769798432 10242007024 10286153606 14082759658 15539596864 20484014048 20572307212 28165519316 40968028096 41144614424 56331038632 56573844833 82289228848 112662077264 113147689666 149149227287 164578457696 225324154528 226295379332 298298454574 329156915392 450648309056 452590758664 596596909148 905181517328 1193193818296 1640641500157 1810363034656 2386387636592 3281283000314 3620726069312 4772775273184 6562566000628 9545550546368 13125132001256 26250264002512 52500528005024 105001056010048