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9690827364 = 223618232
BaseRepresentation
bin10010000011001111…
…00100101001100100
3221000101000001000000
421001213210221210
5124321322433424
64241340021300
7462101450001
oct110147445144
927011001000
109690827364
114123246039
121a65531830
13bb592a59a
1467d0828a8
153bab8b3c9
hex2419e4a64

9690827364 has 63 divisors (see below), whose sum is σ = 25440745603. Its totient is φ = 3228503832.

The previous prime is 9690827359. The next prime is 9690827387. The reversal of 9690827364 is 4637280969.

It is a happy number.

The square root of 9690827364 is 98442.

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

It is a super-5 number, since 5×96908273645 (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9690827364.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5314957 + ... + 5316779.

Almost surely, 29690827364 is an apocalyptic number.

9690827364 is the 98442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9690827364

9690827364 is an abundant number, since it is smaller than the sum of its proper divisors (15749918239).

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

9690827364 is an frugal number, since it uses more digits than its factorization.

9690827364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The cubic root of 9690827364 is about 2131.9987823645.

The spelling of 9690827364 in words is "nine billion, six hundred ninety million, eight hundred twenty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1823 2916 3646 5469 7292 10938 16407 21876 32814 49221 65628 98442 147663 196884 295326 442989 590652 885978 1328967 1771956 2657934 3323329 5315868 6646658 9969987 13293316 19939974 29909961 39879948 59819922 89729883 119639844 179459766 269189649 358919532 538379298 807568947 1076758596 1615137894 2422706841 3230275788 4845413682 9690827364