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10054212804 = 2234157239827
BaseRepresentation
bin10010101110100011…
…10001110011000100
3221221200202221010000
421113101301303010
5131042334302204
64341400401300
7504103253526
oct112721616304
927850687100
1010054212804
11429a382989
121b47176230
13c42cbc25c
146b5435a16
153dca1b039
hex257471cc4

10054212804 has 120 divisors (see below), whose sum is σ = 26593902720. Its totient is φ = 3312114624.

The previous prime is 10054212799. The next prime is 10054212869. The reversal of 10054212804 is 40821245001.

10054212804 is a `hidden beast` number, since 100 + 542 + 12 + 8 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12157039 + ... + 12157865.

It is an arithmetic number, because the mean of its divisors is an integer number (221615856).

Almost surely, 210054212804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10054212804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296951360).

10054212804 is an abundant number, since it is smaller than the sum of its proper divisors (16539689916).

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

10054212804 is a wasteful number, since it uses less digits than its factorization.

10054212804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 10054212804 its reverse (40821245001), we get a palindrome (50875457805).

The spelling of 10054212804 in words is "ten billion, fifty-four million, two hundred twelve thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 239 314 324 471 478 628 717 827 942 956 1413 1434 1654 1884 2151 2481 2826 2868 3308 4239 4302 4962 5652 6453 7443 8478 8604 9924 12717 12906 14886 16956 19359 22329 25434 25812 29772 37523 38718 44658 50868 66987 75046 77436 89316 112569 129839 133974 150092 197653 225138 259678 267948 337707 389517 395306 450276 519356 592959 675414 779034 790612 1013121 1168551 1185918 1350828 1558068 1778877 2026242 2337102 2371836 3039363 3505653 3557754 4052484 4674204 5336631 6078726 7011306 7115508 10516959 10673262 12157452 14022612 16009893 21033918 21346524 31031521 32019786 42067836 62063042 64039572 93094563 124126084 186189126 279283689 372378252 558567378 837851067 1117134756 1675702134 2513553201 3351404268 5027106402 10054212804