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54556606496 = 257835874999
BaseRepresentation
bin110010110011110100…
…111100000000100000
312012211010212202122102
4302303310330000200
51343212442401441
641021333225532
73640651334540
oct626364740040
9165733782572
1054556606496
1121156866a47
12a6a6a922a8
1351b5aa59a2
1428d7973320
15164491569b
hexcb3d3c020

54556606496 has 96 divisors (see below), whose sum is σ = 124467840000. Its totient is φ = 23055734016.

The previous prime is 54556606493. The next prime is 54556606501. The reversal of 54556606496 is 69460665545.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (54556606493) 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, 10911005 + ... + 10916003.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540000).

Almost surely, 254556606496 is an apocalyptic number.

54556606496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54556606496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62233920000).

54556606496 is an abundant number, since it is smaller than the sum of its proper divisors (69911233504).

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

54556606496 is a wasteful number, since it uses less digits than its factorization.

54556606496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 56.

The spelling of 54556606496 in words is "fifty-four billion, five hundred fifty-six million, six hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 587 664 1162 1174 1328 2324 2348 2656 4109 4648 4696 4999 8218 9296 9392 9998 16436 18592 18784 19996 32872 34993 39992 48721 65744 69986 79984 97442 131488 139972 159968 194884 279944 341047 389768 414917 559888 682094 779536 829834 1119776 1364188 1559072 1659668 2728376 2904419 2934413 3319336 5456752 5808838 5868826 6638672 10913504 11617676 11737652 13277344 20540891 23235352 23475304 41081782 46470704 46950608 82163564 92941408 93901216 164327128 243556279 328654256 487112558 657308512 974225116 1704893953 1948450232 3409787906 3896900464 6819575812 7793800928 13639151624 27278303248 54556606496