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54155336004 = 223271119536557
BaseRepresentation
bin110010011011111010…
…001101100101000100
312011210011211010000100
4302123322031211010
51341402231223004
640513440444100
73625006521660
oct623372154504
9164704733010
1054155336004
1120a70303540
12a5b4619630
13515090b023
14289a55b8a0
15161e5a0739
hexc9be8d944

54155336004 has 72 divisors (see below), whose sum is σ = 170671370688. Its totient is φ = 14066320320.

The previous prime is 54155336003. The next prime is 54155336023. The reversal of 54155336004 is 40063355145.

54155336004 is a `hidden beast` number, since 5 + 4 + 15 + 5 + 33 + 600 + 4 = 666.

54155336004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541553360042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54155336004.

It is not an unprimeable number, because it can be changed into a prime (54155336003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9765507 + ... + 9771050.

It is an arithmetic number, because the mean of its divisors is an integer number (2370435704).

Almost surely, 254155336004 is an apocalyptic number.

It is an amenable number.

54155336004 is an abundant number, since it is smaller than the sum of its proper divisors (116516034684).

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

54155336004 is a wasteful number, since it uses less digits than its factorization.

54155336004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19536585 (or 19536580 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 54155336004 in words is "fifty-four billion, one hundred fifty-five million, three hundred thirty-six thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 19536557 39073114 58609671 78146228 117219342 136755899 175829013 214902127 234438684 273511798 351658026 410267697 429804254 547023596 644706381 703316052 820535394 859608508 1230803091 1289412762 1504314889 1641070788 1934119143 2461606182 2578825524 3008629778 3868238286 4512944667 4923212364 6017259556 7736476572 9025889334 13538834001 18051778668 27077668002 54155336004