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56056015100 = 22521973139091
BaseRepresentation
bin110100001101001100…
…101110100011111100
312100200122021121120102
4310031030232203330
51404300314440400
641430214540232
74023056160311
oct641514564374
9170618247512
1056056015100
1121856182908
12aa45067678
13539461ba07
1429dab60d08
1516d13949d5
hexd0d32e8fc

56056015100 has 72 divisors (see below), whose sum is σ = 122663117808. Its totient is φ = 22234867200.

The previous prime is 56056015097. The next prime is 56056015117. The reversal of 56056015100 is 151065065.

It is a congruent number.

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, 6161555 + ... + 6170645.

It is an arithmetic number, because the mean of its divisors is an integer number (1703654414).

Almost surely, 256056015100 is an apocalyptic number.

56056015100 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 56056015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61331558904).

56056015100 is an abundant number, since it is smaller than the sum of its proper divisors (66607102708).

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

56056015100 is a wasteful number, since it uses less digits than its factorization.

56056015100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9615 (or 9608 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 56056015100 in words is "fifty-six billion, fifty-six million, fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 313 394 626 788 985 1252 1565 1970 3130 3940 4925 6260 7825 9091 9850 15650 18182 19700 31300 36364 45455 61661 90910 123322 181820 227275 246644 308305 454550 616610 909100 1233220 1541525 1790927 2845483 3083050 3581854 5690966 6166100 7163708 8954635 11381932 14227415 17909270 28454830 35818540 44773175 56909660 71137075 89546350 142274150 179092700 284548300 560560151 1121120302 2242240604 2802800755 5605601510 11211203020 14014003775 28028007550 56056015100