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29951563992 = 2337314924419
BaseRepresentation
bin11011111001010000…
…001001100011011000
32212022101011002122220
4123321100021203120
5442320100021432
621432021544040
72110141044000
oct337120114330
985271132586
1029951563992
111177a971379
12597a875020
132a9433683c
141641c3b000
15ba475c72c
hex6f94098d8

29951563992 has 128 divisors (see below), whose sum is σ = 87912000000. Its totient is φ = 8499808128.

The previous prime is 29951563937. The next prime is 29951564017. The reversal of 29951563992 is 29936515992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214359 + ... + 1238777.

It is an arithmetic number, because the mean of its divisors is an integer number (686812500).

Almost surely, 229951563992 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 29951563992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43956000000).

29951563992 is an abundant number, since it is smaller than the sum of its proper divisors (57960436008).

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

29951563992 is a wasteful number, since it uses less digits than its factorization.

29951563992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24598 (or 24580 counting only the distinct ones).

The product of its digits is 11809800, while the sum is 60.

The spelling of 29951563992 in words is "twenty-nine billion, nine hundred fifty-one million, five hundred sixty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 149 168 196 294 298 343 392 447 588 596 686 894 1029 1043 1176 1192 1372 1788 2058 2086 2744 3129 3576 4116 4172 6258 7301 8232 8344 12516 14602 21903 24419 25032 29204 43806 48838 51107 58408 73257 87612 97676 102214 146514 153321 170933 175224 195352 204428 293028 306642 341866 408856 512799 586056 613284 683732 1025598 1196531 1226568 1367464 2051196 2393062 3589593 3638431 4102392 4786124 7179186 7276862 8375717 9572248 10915293 14358372 14553724 16751434 21830586 25127151 25469017 28716744 29107448 33502868 43661172 50254302 50938034 67005736 76407051 87322344 100508604 101876068 152814102 178283119 201017208 203752136 305628204 356566238 534849357 611256408 713132476 1069698714 1247981833 1426264952 2139397428 2495963666 3743945499 4278794856 4991927332 7487890998 9983854664 14975781996 29951563992