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9978655232 = 29713613511
BaseRepresentation
bin10010100101100011…
…00011001000000000
3221202102121012121102
421102301203020000
5130414013431412
64330101113532
7502165112210
oct112261431000
927672535542
109978655232
114260766407
121b259b88a8
13c30455c30
146a93a8240
153d60938c2
hex252c63200

9978655232 has 160 divisors (see below), whose sum is σ = 24948236544. Its totient is φ = 3881779200.

The previous prime is 9978655231. The next prime is 9978655273. The reversal of 9978655232 is 2325568799.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 9978655232 = 7963 + 21163 = 16723 + 17443.

It is not an unprimeable number, because it can be changed into a prime (9978655231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2840357 + ... + 2843867.

Almost surely, 29978655232 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 9978655232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12474118272).

9978655232 is an abundant number, since it is smaller than the sum of its proper divisors (14969581312).

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

9978655232 is a wasteful number, since it uses less digits than its factorization.

9978655232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3594 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 56.

The square root of 9978655232 is about 99893.2191492496. The cubic root of 9978655232 is about 2152.9007344952.

The spelling of 9978655232 in words is "nine billion, nine hundred seventy-eight million, six hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 64 91 104 112 122 128 182 208 224 244 256 364 416 427 448 488 512 728 793 832 854 896 976 1456 1586 1664 1708 1792 1952 2912 3172 3328 3416 3511 3584 3904 5551 5824 6344 6656 6832 7022 7808 11102 11648 12688 13664 14044 15616 22204 23296 24577 25376 27328 28088 31232 44408 45643 46592 49154 50752 54656 56176 88816 91286 98308 101504 109312 112352 177632 182572 196616 203008 214171 218624 224704 319501 355264 365144 393232 406016 428342 449408 639002 710528 730288 786464 856684 898816 1278004 1421056 1460576 1499197 1572928 1713368 1797632 2556008 2784223 2842112 2921152 2998394 3145856 3426736 5112016 5568446 5842304 5996788 6291712 6853472 10224032 11136892 11684608 11993576 12583424 13706944 19489561 20448064 22273784 23369216 23987152 27413888 38979122 40896128 44547568 47974304 54827776 77958244 81792256 89095136 95948608 109655552 155916488 163584512 178190272 191897216 311832976 356380544 383794432 623665952 712761088 767588864 1247331904 1425522176 2494663808 4989327616 9978655232