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8973398656 = 27376189349
BaseRepresentation
bin10000101101101101…
…10011001010000000
3212011101000212211101
420112312303022000
5121334142224111
64042231024144
7435240426055
oct102666631200
925141025741
108973398656
113895282252
1218a520b054
13b000c8261
14611a8d02c
15377bc4bc1
hex216db3280

8973398656 has 128 divisors (see below), whose sum is σ = 18924570000. Its totient is φ = 4233461760.

The previous prime is 8973398647. The next prime is 8973398683. The reversal of 8973398656 is 6568933798.

It can be written as a sum of positive squares in 8 ways, for example, as 3432085056 + 5541313600 = 58584^2 + 74440^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25711570 + ... + 25711918.

Almost surely, 28973398656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8973398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462285000).

8973398656 is an abundant number, since it is smaller than the sum of its proper divisors (9951171344).

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

8973398656 is a wasteful number, since it uses less digits than its factorization.

8973398656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 64.

The square root of 8973398656 is about 94728.0246600762. The cubic root of 8973398656 is about 2078.0324293092.

The spelling of 8973398656 in words is "eight billion, nine hundred seventy-three million, three hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 61 64 74 89 122 128 148 178 244 296 349 356 488 592 698 712 976 1184 1396 1424 1952 2257 2368 2792 2848 3293 3904 4514 4736 5429 5584 5696 6586 7808 9028 10858 11168 11392 12913 13172 18056 21289 21716 22336 25826 26344 31061 36112 42578 43432 44672 51652 52688 62122 72224 85156 86864 103304 105376 124244 144448 170312 173728 200873 206608 210752 248488 288896 340624 347456 401746 413216 421504 496976 681248 694912 787693 803492 826432 993952 1149257 1362496 1575386 1606984 1652864 1894721 1987904 2298514 2724992 3150772 3213968 3789442 3975808 4597028 6301544 6427936 7578884 9194056 12603088 12855872 15157768 18388112 25206176 25711744 30315536 36776224 50412352 60631072 70104677 73552448 100824704 121262144 140209354 147104896 242524288 280418708 560837416 1121674832 2243349664 4486699328 8973398656