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88908926976 = 2123215532
BaseRepresentation
bin101001011001101100…
…0101001000000000000
322111111012211110022100
41102303120221000000
52424041141130401
6104502202510400
76265150260432
oct1226330510000
9274435743270
1088908926976
1134784853851
1215293505400
1384cba7893c
144436044652
1524a56aab86
hex14b3629000

88908926976 has 117 divisors (see below), whose sum is σ = 256982132329. Its totient is φ = 29617225728.

The previous prime is 88908926963. The next prime is 88908926987. The reversal of 88908926976 is 67962980988.

The square root of 88908926976 is 298176.

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., 9032601600 + 79876325376 = 95040^2 + 282624^2 .

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

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, 57249016 + ... + 57250568.

Almost surely, 288908926976 is an apocalyptic number.

88908926976 is the 298176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88908926976

88908926976 is an abundant number, since it is smaller than the sum of its proper divisors (168073205353).

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

88908926976 is an frugal number, since it uses more digits than its factorization.

88908926976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 88908926976 in words is "eighty-eight billion, nine hundred eight million, nine hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1553 2048 2304 3072 3106 4096 4608 4659 6144 6212 9216 9318 12288 12424 13977 18432 18636 24848 27954 36864 37272 49696 55908 74544 99392 111816 149088 198784 223632 298176 397568 447264 596352 795136 894528 1192704 1590272 1789056 2385408 2411809 3180544 3578112 4770816 4823618 6361088 7156224 7235427 9541632 9647236 14312448 14470854 19083264 19294472 21706281 28624896 28941708 38588944 43412562 57249792 57883416 77177888 86825124 115766832 154355776 173650248 231533664 308711552 347300496 463067328 617423104 694600992 926134656 1234846208 1389201984 1852269312 2469692416 2778403968 3704538624 4939384832 5556807936 7409077248 9878769664 11113615872 14818154496 22227231744 29636308992 44454463488 88908926976