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9700942368 = 2531359131749
BaseRepresentation
bin10010000100011100…
…01010001000100000
3221001002000221011210
421002032022020200
5124331420123433
64242340510120
7462253435545
oct110216121040
927032027153
109700942368
114128a24647
121a689ab340
13bb7a5c5b0
14680556bcc
153bb9d8463
hex24238a220

9700942368 has 96 divisors (see below), whose sum is σ = 27888840000. Its totient is φ = 2934291456.

The previous prime is 9700942351. The next prime is 9700942403. The reversal of 9700942368 is 8632490079.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7758 + ... + 139506.

It is an arithmetic number, because the mean of its divisors is an integer number (290508750).

Almost surely, 29700942368 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 9700942368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944420000).

9700942368 is an abundant number, since it is smaller than the sum of its proper divisors (18187897632).

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

9700942368 is a wasteful number, since it uses less digits than its factorization.

9700942368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131834 (or 131826 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 9700942368 is about 98493.3620504448. The cubic root of 9700942368 is about 2132.7402972257.

The spelling of 9700942368 in words is "nine billion, seven hundred million, nine hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 177 208 236 312 354 416 472 624 708 767 944 1248 1416 1534 1888 2301 2832 3068 4602 5664 6136 9204 12272 18408 24544 36816 73632 131749 263498 395247 526996 790494 1053992 1580988 1712737 2107984 3161976 3425474 4215968 5138211 6323952 6850948 7773191 10276422 12647904 13701896 15546382 20552844 23319573 27403792 31092764 41105688 46639146 54807584 62185528 82211376 93278292 101051483 124371056 164422752 186556584 202102966 248742112 303154449 373113168 404205932 606308898 746226336 808411864 1212617796 1616823728 2425235592 3233647456 4850471184 9700942368