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5056056100 = 2252435572111
BaseRepresentation
bin1001011010101110…
…10100101100100100
3111001100212021002001
410231113110230210
540323322243400
62153412455044
7236202524224
oct45527245444
914040767061
105056056100
112165014867
12b9131a484
13627657694
1435d6d4084
151e8d2aa6a
hex12d5d4b24

5056056100 has 72 divisors (see below), whose sum is σ = 11252279808. Its totient is φ = 1970908800.

The previous prime is 5056056077. The next prime is 5056056113. The reversal of 5056056100 is 16506505.

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, 2394045 + ... + 2396155.

It is an arithmetic number, because the mean of its divisors is an integer number (156281664).

Almost surely, 25056056100 is an apocalyptic number.

5056056100 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 5056056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626139904).

5056056100 is an abundant number, since it is smaller than the sum of its proper divisors (6196223708).

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

5056056100 is a wasteful number, since it uses less digits than its factorization.

5056056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 5056056100 is about 71105.9498213757. The cubic root of 5056056100 is about 1716.3425187867.

The spelling of 5056056100 in words is "five billion, fifty-six million, fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 557 860 1075 1114 2111 2150 2228 2785 4222 4300 5570 8444 10555 11140 13925 21110 23951 27850 42220 47902 52775 55700 90773 95804 105550 119755 181546 211100 239510 363092 453865 479020 598775 907730 1175827 1197550 1815460 2269325 2351654 2395100 4538650 4703308 5879135 9077300 11758270 23516540 29395675 50560561 58791350 101121122 117582700 202242244 252802805 505605610 1011211220 1264014025 2528028050 5056056100