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56151315300 = 22352732639749
BaseRepresentation
bin110100010010111000…
…010001001101100100
312100221021121100212110
4310102320101031210
51404444214042200
641443501321020
74025324206413
oct642270211544
9170837540773
1056151315300
11218a4a54303
12aa70b66170
1353ab2a8272
142a0968b47a
1516d991bb50
hexd12e11364

56151315300 has 144 divisors (see below), whose sum is σ = 165333168000. Its totient is φ = 14710901760.

The previous prime is 56151315257. The next prime is 56151315313. The reversal of 56151315300 is 351315165.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5754826 + ... + 5764574.

It is an arithmetic number, because the mean of its divisors is an integer number (1148147000).

Almost surely, 256151315300 is an apocalyptic number.

56151315300 is a gapful number since it is divisible by the number (50) 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 56151315300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82666584000).

56151315300 is an abundant number, since it is smaller than the sum of its proper divisors (109181852700).

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

56151315300 is a wasteful number, since it uses less digits than its factorization.

56151315300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 56151315300 in words is "fifty-six billion, one hundred fifty-one million, three hundred fifteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 263 292 300 365 438 526 730 789 876 1052 1095 1315 1460 1578 1825 2190 2630 3156 3650 3945 4380 5260 5475 6575 7300 7890 9749 10950 13150 15780 19199 19498 19725 21900 26300 29247 38398 38996 39450 48745 57597 58494 76796 78900 95995 97490 115194 116988 146235 191990 194980 230388 243725 287985 292470 383980 479975 487450 575970 584940 711677 731175 959950 974900 1151940 1423354 1439925 1462350 1919900 2135031 2563987 2846708 2879850 2924700 3558385 4270062 5127974 5759700 7116770 7691961 8540124 10255948 10675155 12819935 14233540 15383922 17791925 21350310 25639870 30767844 35583850 38459805 42700620 51279740 53375775 64099675 71167700 76919610 106751550 128199350 153839220 187171051 192299025 213503100 256398700 374342102 384598050 561513153 748684204 769196100 935855255 1123026306 1871710510 2246052612 2807565765 3743421020 4679276275 5615131530 9358552550 11230263060 14037828825 18717105100 28075657650 56151315300