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117528928837776 = 24343011412
BaseRepresentation
bin11010101110010001010110…
…000011011110000010010000
3120102010122201010102200210000
4122232101112003132002100
5110401043221240302101
61053544013342010000
733520120263650361
oct3256212603360220
9512118633380700
10117528928837776
11344a28143a0a25
1211221a88576900
135076c13217c31
142104605451b68
15d8c2e55d2486
hex6ae4560de090

117528928837776 has 75 divisors (see below), whose sum is σ = 340163947539273. Its totient is φ = 39176179519680.

The previous prime is 117528928837763. The next prime is 117528928837799. The reversal of 117528928837776 is 677738829825711.

The square root of 117528928837776 is 10841076.

It is a perfect power (a square), and thus also a powerful number.

117528928837776 is a `hidden beast` number, since 1 + 1 + 7 + 528 + 9 + 2 + 8 + 83 + 7 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112853992972176 + 4674935865600 = 10623276^2 + 2162160^2 .

It is a super-2 number, since 2×1175289288377762 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 117528928837695 and 117528928837704.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 390128166 + ... + 390429306.

Almost surely, 2117528928837776 is an apocalyptic number.

117528928837776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117528928837776 is the 10841076-th square number.

It is an amenable number.

117528928837776 is an abundant number, since it is smaller than the sum of its proper divisors (222635018701497).

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

117528928837776 is an frugal number, since it uses more digits than its factorization.

117528928837776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602302 (or 301146 counting only the distinct ones).

The product of its digits is 3982970880, while the sum is 81.

117528928837776 divided by its sum of digits (81) gives a square (1450974430096 = 12045642).

The spelling of 117528928837776 in words is "one hundred seventeen trillion, five hundred twenty-eight billion, nine hundred twenty-eight million, eight hundred thirty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 301141 602282 903423 1204564 1806846 2409128 2710269 3613692 4818256 5420538 7227384 8130807 10841076 14454768 16261614 21682152 24392421 32523228 43364304 48784842 65046456 97569684 130092912 195139368 390278736 90685901881 181371803762 272057705643 362743607524 544115411286 725487215048 816173116929 1088230822572 1450974430096 1632346233858 2176461645144 2448519350787 3264692467716 4352923290288 4897038701574 6529384935432 7345558052361 9794077403148 13058769870864 14691116104722 19588154806296 29382232209444 39176309612592 58764464418888 117528928837776