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934965228096 = 2632402892
BaseRepresentation
bin11011001101100000100…
…01010011001001000000
310022101022100000201002100
431212300101103021000
5110304302044244341
61553303405350400
7124356211212024
oct15466021231100
93271270021070
10934965228096
11330575551219
12131251b68400
136a222726aa3
1433377040384
15194c1ede3b6
hexd9b0453240

934965228096 has 63 divisors (see below), whose sum is σ = 2679975531961. Its totient is φ = 311647340544.

The previous prime is 934965228083. The next prime is 934965228103. The reversal of 934965228096 is 690822569439.

The square root of 934965228096 is 966936.

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

934965228096 is a `hidden beast` number, since 9 + 3 + 496 + 52 + 2 + 8 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 908330988096 + 26634240000 = 953064^2 + 163200^2 .

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, 23186320 + ... + 23226608.

Almost surely, 2934965228096 is an apocalyptic number.

934965228096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

934965228096 is the 966936-th square number.

It is an amenable number.

934965228096 is an abundant number, since it is smaller than the sum of its proper divisors (1745010303865).

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

934965228096 is an frugal number, since it uses more digits than its factorization.

934965228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80596 (or 40294 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 934965228096 in words is "nine hundred thirty-four billion, nine hundred sixty-five million, two hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 40289 80578 120867 161156 241734 322312 362601 483468 644624 725202 966936 1289248 1450404 1933872 2578496 2900808 3867744 5801616 7735488 11603232 23206464 1623203521 3246407042 4869610563 6492814084 9739221126 12985628168 14608831689 19478442252 25971256336 29217663378 38956884504 51942512672 58435326756 77913769008 103885025344 116870653512 155827538016 233741307024 311655076032 467482614048 934965228096