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9102686464 = 28672892
BaseRepresentation
bin10000111101000111…
…11111100100000000
3212111101022101100201
420132203333210000
5122120241431324
64103130054544
7441400362334
oct103643774400
925441271321
109102686464
113951258083
12192057a454
13b20b24811
14624d057c4
15384212444
hex21e8ff900

9102686464 has 81 divisors (see below), whose sum is σ = 18654630897. Its totient is φ = 4433037312.

The previous prime is 9102686449. The next prime is 9102686473. The reversal of 9102686464 is 4646862019.

The square root of 9102686464 is 95408.

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

It can be written as a sum of positive squares in only one way, i.e., 1747908864 + 7354777600 = 41808^2 + 85760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102277332 + ... + 102277420.

Almost surely, 29102686464 is an apocalyptic number.

9102686464 is the 95408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9102686464

9102686464 is an abundant number, since it is smaller than the sum of its proper divisors (9551944433).

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

9102686464 is an frugal number, since it uses more digits than its factorization.

9102686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The cubic root of 9102686464 is about 2087.9649049948.

The spelling of 9102686464 in words is "nine billion, one hundred two million, six hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 67 89 128 134 178 256 268 356 536 712 1072 1424 2144 2848 4288 4489 5696 5963 7921 8576 8978 11392 11926 15842 17152 17956 22784 23852 31684 35912 47704 63368 71824 95408 126736 143648 190816 253472 287296 381632 399521 506944 530707 574592 763264 799042 1013888 1061414 1149184 1526528 1598084 2027776 2122828 3196168 4245656 6392336 8491312 12784672 16982624 25569344 33965248 35557369 51138688 67930496 71114738 102277376 135860992 142229476 284458952 568917904 1137835808 2275671616 4551343232 9102686464