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54358406928 = 24327281191911
BaseRepresentation
bin110010101000000000…
…110111011100010000
312012022022221011221200
4302220000313130100
51342311223010203
640545533151200
73633023556330
oct625000673420
9165268834850
1054358406928
11210649a3751
12a65062b500
1351839cc037
1428b94dd0c0
1516323149a3
hexca8037710

54358406928 has 120 divisors (see below), whose sum is σ = 174480249216. Its totient is φ = 15475622400.

The previous prime is 54358406911. The next prime is 54358406959. The reversal of 54358406928 is 82960485345.

54358406928 is a `hidden beast` number, since 54 + 3 + 584 + 0 + 6 + 9 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187293 + ... + 379203.

Almost surely, 254358406928 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 54358406928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87240124608).

54358406928 is an abundant number, since it is smaller than the sum of its proper divisors (120121842288).

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

54358406928 is a wasteful number, since it uses less digits than its factorization.

54358406928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192213 (or 192204 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 54358406928 in words is "fifty-four billion, three hundred fifty-eight million, four hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 281 336 504 562 843 1008 1124 1686 1967 2248 2529 3372 3934 4496 5058 5901 6744 7868 10116 11802 13488 15736 17703 20232 23604 31472 35406 40464 47208 70812 94416 141624 191911 283248 383822 575733 767644 1151466 1343377 1535288 1727199 2302932 2686754 3070576 3454398 4030131 4605864 5373508 6908796 8060262 9211728 10747016 12090393 13817592 16120524 21494032 24180786 27635184 32241048 48361572 53926991 64482096 96723144 107853982 161780973 193446288 215707964 323561946 377488937 431415928 485342919 647123892 754977874 862831856 970685838 1132466811 1294247784 1509955748 1941371676 2264933622 2588495568 3019911496 3397400433 3882743352 4529867244 6039822992 6794800866 7765486704 9059734488 13589601732 18119468976 27179203464 54358406928