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54903429792 = 25326719114897
BaseRepresentation
bin110011001000011111…
…111101101010100000
312020201022111012202200
4303020133331222200
51344420234223132
641120003013200
73652362311301
oct631037755240
9166638435680
1054903429792
1121314611472
12a78306a200
13523c8b8c83
14292ba547a8
1516650c2d7c
hexcc87fdaa0

54903429792 has 144 divisors (see below), whose sum is σ = 159302287872. Its totient is φ = 17932400640.

The previous prime is 54903429739. The next prime is 54903429803. The reversal of 54903429792 is 29792430945.

54903429792 is a `hidden beast` number, since 549 + 0 + 3 + 4 + 2 + 9 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3678088 + ... + 3692984.

It is an arithmetic number, because the mean of its divisors is an integer number (1106265888).

Almost surely, 254903429792 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 54903429792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79651143936).

54903429792 is an abundant number, since it is smaller than the sum of its proper divisors (104398858080).

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

54903429792 is a wasteful number, since it uses less digits than its factorization.

54903429792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15171 (or 15160 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 54903429792 in words is "fifty-four billion, nine hundred three million, four hundred twenty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 191 201 268 288 382 402 536 573 603 764 804 1072 1146 1206 1528 1608 1719 2144 2292 2412 3056 3216 3438 4584 4824 6112 6432 6876 9168 9648 12797 13752 14897 18336 19296 25594 27504 29794 38391 44691 51188 55008 59588 76782 89382 102376 115173 119176 134073 153564 178764 204752 230346 238352 268146 307128 357528 409504 460692 476704 536292 614256 715056 921384 998099 1072584 1228512 1430112 1842768 1996198 2145168 2845327 2994297 3685536 3992396 4290336 5690654 5988594 7984792 8535981 8982891 11381308 11977188 15969584 17071962 17965782 22762616 23954376 25607943 31939168 34143924 35931564 45525232 47908752 51215886 68287848 71863128 91050464 95817504 102431772 136575696 143726256 190636909 204863544 273151392 287452512 381273818 409727088 571910727 762547636 819454176 1143821454 1525095272 1715732181 2287642908 3050190544 3431464362 4575285816 6100381088 6862928724 9150571632 13725857448 18301143264 27451714896 54903429792