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133001238129232 = 241121717323359057
BaseRepresentation
bin11110001111011011000011…
…100011011010101001010000
3122102220210102222001001020011
4132033123003203122221100
5114413043013430113412
61150511531510524304
740005010444661014
oct3617330343325120
9572823388031204
10133001238129232
1139418565652800
1212b00645666694
135929c69769725
1424bb4196ac544
151059a0285a7a7
hex78f6c38daa50

133001238129232 has 120 divisors (see below), whose sum is σ = 301641028691688. Its totient is φ = 56570027458560.

The previous prime is 133001238129223. The next prime is 133001238129299. The reversal of 133001238129232 is 232921832100331.

It can be written as a sum of positive squares in 4 ways, for example, as 80153630556736 + 52847607572496 = 8952856^2 + 7269636^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5985753 + ... + 17373304.

Almost surely, 2133001238129232 is an apocalyptic number.

It is an amenable number.

133001238129232 is an abundant number, since it is smaller than the sum of its proper divisors (168639790562456).

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

133001238129232 is a wasteful number, since it uses less digits than its factorization.

133001238129232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23359277 (or 23359260 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 133001238129232 in words is "one hundred thirty-three trillion, one billion, two hundred thirty-eight million, one hundred twenty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 173 176 187 242 272 346 374 484 692 748 968 1384 1496 1903 1936 2057 2768 2941 2992 3806 4114 5882 7612 8228 11764 15224 16456 20933 23528 30448 32351 32912 41866 47056 64702 83732 129404 167464 258808 334928 355861 517616 711722 1423444 2846888 5693776 23359057 46718114 93436228 186872456 256949627 373744912 397103969 513899254 794207938 1027798508 1588415876 2055597016 2826445897 3176831752 4041116861 4111194032 4368143659 5652891794 6353663504 8082233722 8736287318 11305783588 16164467444 17472574636 22611567176 32328934888 34945149272 44452285471 45223134352 48049580249 64657869776 68698986637 69890298544 88904570942 96099160498 137397973274 177809141884 192198320996 274795946548 355618283768 384396641992 488975140181 549591893096 711236567536 755688853007 768793283984 977950280362 1099183786192 1511377706014 1955900560724 3022755412028 3911801121448 6045510824056 7823602242896 8312577383077 12091021648112 16625154766154 33250309532308 66500619064616 133001238129232