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45534621011328 = 273354167243239
BaseRepresentation
bin10100101101001110110101…
…11010010000110110000000
312222020001211000210110012000
422112213122322100312000
521432014400434330303
6240502152140304000
712406524233320401
oct1226473272206600
9188201730713160
1045534621011328
1113566140526289
125134ab8542000
131c53b863376c7
14b35c5d0d99a8
1553e6d76ddda3
hex2969dae90d80

45534621011328 has 128 divisors (see below), whose sum is σ = 134393408064000. Its totient is φ = 15177864393216.

The previous prime is 45534621011281. The next prime is 45534621011329. The reversal of 45534621011328 is 82311012643554.

45534621011328 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 4 + 621 + 0 + 1 + 13 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45534621011329) 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, 187079533 + ... + 187322771.

It is an arithmetic number, because the mean of its divisors is an integer number (1049948500500).

Almost surely, 245534621011328 is an apocalyptic number.

45534621011328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45534621011328 is an abundant number, since it is smaller than the sum of its proper divisors (88858787052672).

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

45534621011328 is a wasteful number, since it uses less digits than its factorization.

45534621011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297429 (or 297411 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 45534621011328 in words is "forty-five trillion, five hundred thirty-four billion, six hundred twenty-one million, eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 54167 108334 162501 216668 243239 325002 433336 486478 487503 650004 729717 866672 972956 975006 1300008 1459434 1462509 1733344 1945912 1950012 2189151 2600016 2918868 2925018 3466688 3891824 3900024 4378302 5200032 5837736 5850036 6567453 6933376 7783648 7800048 8756604 10400064 11675472 11700072 13134906 15567296 15600096 17513208 20800128 23350944 23400144 26269812 31134592 31200192 35026416 46701888 46800288 52539624 62400384 70052832 93403776 93600576 105079248 140105664 187201152 210158496 280211328 420316992 840633984 13175526913 26351053826 39526580739 52702107652 79053161478 105404215304 118579742217 158106322956 210808430608 237159484434 316212645912 355739226651 421616861216 474318968868 632425291824 711478453302 843233722432 948637937736 1264850583648 1422956906604 1686467444864 1897275875472 2529701167296 2845913813208 3794551750944 5059402334592 5691827626416 7589103501888 11383655252832 15178207003776 22767310505664 45534621011328