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8382970552896 = 2634402132
BaseRepresentation
bin111100111111100111111…
…1110110110001001000000
31002200101220122001020010000
41321333033332312021000
52044321310430143041
625455030012040000
71523435553002352
oct171771776661100
932611818036100
108382970552896
11274221a373a05
12b34813a63000
1348a6840cb984
1420da48c990d2
15e80d87bbbb6
hex79fcffb6240

8382970552896 has 105 divisors (see below), whose sum is σ = 24850368833961. Its totient is φ = 2794254029568.

The previous prime is 8382970552867. The next prime is 8382970552921. The reversal of 8382970552896 is 6982550792838.

The square root of 8382970552896 is 2895336.

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

8382970552896 is a `hidden beast` number, since 8 + 3 + 8 + 2 + 9 + 7 + 0 + 5 + 528 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3713637326400 + 4669333226496 = 1927080^2 + 2160864^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 208444086 + ... + 208484298.

Almost surely, 28382970552896 is an apocalyptic number.

8382970552896 is the 2895336-th square number.

It is an amenable number.

8382970552896 is an abundant number, since it is smaller than the sum of its proper divisors (16467398281065).

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

8382970552896 is an frugal number, since it uses more digits than its factorization.

8382970552896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80450 (or 40218 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 8382970552896 in words is "eight trillion, three hundred eighty-two billion, nine hundred seventy million, five hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 40213 80426 120639 160852 241278 321704 361917 482556 643408 723834 965112 1085751 1286816 1447668 1930224 2171502 2573632 2895336 3257253 3860448 4343004 5790672 6514506 7720896 8686008 11581344 13029012 17372016 23162688 26058024 34744032 52116048 69488064 104232096 208464192 1617085369 3234170738 4851256107 6468341476 9702512214 12936682952 14553768321 19405024428 25873365904 29107536642 38810048856 43661304963 51746731808 58215073284 77620097712 87322609926 103493463616 116430146568 130983914889 155240195424 174645219852 232860293136 261967829778 310480390848 349290439704 465720586272 523935659556 698580879408 931441172544 1047871319112 1397161758816 2095742638224 2794323517632 4191485276448 8382970552896