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972063664 = 241121322971
BaseRepresentation
bin111001111100001…
…000001110110000
32111202002221122221
4321330020032300
53442322014124
6240242410424
733042255565
oct7174101660
92452087587
10972063664
11459782900
12231660a14
13126508600
149315886c
155a513ce4
hex39f083b0

972063664 has 90 divisors (see below), whose sum is σ = 2242400748. Its totient is φ = 407721600.

The previous prime is 972063647. The next prime is 972063679. The reversal of 972063664 is 466360279.

It is a self number, because there is not a number n which added to its sum of digits gives 972063664.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 325699 + ... + 328669.

Almost surely, 2972063664 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 972063664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121200374).

972063664 is an abundant number, since it is smaller than the sum of its proper divisors (1270337084).

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

972063664 is a wasteful number, since it uses less digits than its factorization.

972063664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 972063664 is about 31177.9355313978. The cubic root of 972063664 is about 990.5998011403.

The spelling of 972063664 in words is "nine hundred seventy-two million, sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 208 242 286 338 484 572 676 968 1144 1352 1573 1859 1936 2288 2704 2971 3146 3718 5942 6292 7436 11884 12584 14872 20449 23768 25168 29744 32681 38623 40898 47536 65362 77246 81796 130724 154492 163592 261448 308984 327184 359491 424853 502099 522896 617968 718982 849706 1004198 1437964 1699412 2008396 2875928 3398824 4016792 4673383 5523089 5751856 6797648 8033584 9346766 11046178 18693532 22092356 37387064 44184712 60753979 74774128 88369424 121507958 243015916 486031832 972063664