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56616061055100 = 22352375100546041
BaseRepresentation
bin11001101111101111101000…
…01101010011000001111100
321102110102221122021000011220
430313313310031103001330
524410044143112230400
6320225020454513340
714632242525461001
oct1467676415230174
9242412848230156
1056616061055100
1117048811540498
1264246a4365850
132578b44022771
14dda3367838a8
15682aa89bb7a0
hex337df435307c

56616061055100 has 72 divisors (see below), whose sum is σ = 168236410649328. Its totient is φ = 14689572595200.

The previous prime is 56616061055077. The next prime is 56616061055107. The reversal of 56616061055100 is 155016061665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56616061055107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2550261921 + ... + 2550284120.

It is an arithmetic number, because the mean of its divisors is an integer number (2336616814574).

Almost surely, 256616061055100 is an apocalyptic number.

56616061055100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56616061055100 is an abundant number, since it is smaller than the sum of its proper divisors (111620349594228).

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

56616061055100 is a wasteful number, since it uses less digits than its factorization.

56616061055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100546095 (or 5100546088 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 56616061055100 in words is "fifty-six trillion, six hundred sixteen billion, sixty-one million, fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 5100546041 10201092082 15301638123 20402184164 25502730205 30603276246 51005460410 61206552492 76508190615 102010920820 127513651025 153016381230 188720203517 255027302050 306032762460 377440407034 382540953075 510054604100 566160610551 754880814068 765081906150 943601017585 1132321221102 1530163812300 1887202035170 2264642442204 2830803052755 3774404070340 4718005087925 5661606105510 9436010175850 11323212211020 14154015263775 18872020351700 28308030527550 56616061055100