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56054376600 = 23352911102551
BaseRepresentation
bin110100001101000110…
…011110100010011000
312100200112012100222020
4310031012132202120
51404244410022400
641430115454440
74023036224325
oct641506364230
9170615170866
1056054376600
1121855263882
12aa445b7420
135394196ca1
1429da855b4c
1516d116e2a0
hexd0d19e898

56054376600 has 96 divisors (see below), whose sum is σ = 173961008640. Its totient is φ = 14931280000.

The previous prime is 56054376559. The next prime is 56054376613. The reversal of 56054376600 is 667345065.

It is a congruent number.

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, 495325 + ... + 597875.

It is an arithmetic number, because the mean of its divisors is an integer number (1812093840).

Almost surely, 256054376600 is an apocalyptic number.

56054376600 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 56054376600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86980504320).

56054376600 is an abundant number, since it is smaller than the sum of its proper divisors (117906632040).

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

56054376600 is a wasteful number, since it uses less digits than its factorization.

56054376600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103481 (or 103472 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 56054376600 in words is "fifty-six billion, fifty-four million, three hundred seventy-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 911 1822 2733 3644 4555 5466 7288 9110 10932 13665 18220 21864 22775 27330 36440 45550 54660 68325 91100 102551 109320 136650 182200 205102 273300 307653 410204 512755 546600 615306 820408 1025510 1230612 1538265 2051020 2461224 2563775 3076530 4102040 5127550 6153060 7691325 10255100 12306120 15382650 20510200 30765300 61530600 93423961 186847922 280271883 373695844 467119805 560543766 747391688 934239610 1121087532 1401359415 1868479220 2242175064 2335599025 2802718830 3736958440 4671198050 5605437660 7006797075 9342396100 11210875320 14013594150 18684792200 28027188300 56054376600