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56103251400 = 233352723471373
BaseRepresentation
bin110100010000000000…
…111010110111001000
312100210221011110121000
4310100000322313020
51404344413021100
641435023215000
74024201524420
oct642000726710
9170727143530
1056103251400
112187a906179
12aa58a47460
1353a134a1a1
142a03139480
1516d55c5900
hexd1003adc8

56103251400 has 768 divisors, whose sum is σ = 235527782400. Its totient is φ = 11996328960.

The previous prime is 56103251363. The next prime is 56103251473. The reversal of 56103251400 is 415230165.

56103251400 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 3 + 251 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40861114 + ... + 40862486.

It is an arithmetic number, because the mean of its divisors is an integer number (306676800).

Almost surely, 256103251400 is an apocalyptic number.

56103251400 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 56103251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117763891200).

56103251400 is an abundant number, since it is smaller than the sum of its proper divisors (179424531000).

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

56103251400 is a wasteful number, since it uses less digits than its factorization.

56103251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 56103251400 its reverse (415230165), we get a palindrome (56518481565).

The spelling of 56103251400 in words is "fifty-six billion, one hundred three million, two hundred fifty-one thousand, four hundred".