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9690290592 = 2531134332063
BaseRepresentation
bin10010000011001011…
…00001100110100000
3221000022222202200120
421001211201212200
5124321203244332
64241320320240
7462064053033
oct110145414640
927008882616
109690290592
114122a09824
121a65313080
13bb57a0178
1467cd8301a
153baad232c
hex2419619a0

9690290592 has 96 divisors (see below), whose sum is σ = 25733852928. Its totient is φ = 3192569856.

The previous prime is 9690290557. The next prime is 9690290689. The reversal of 9690290592 is 2950920969.

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

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, 4696153 + ... + 4698215.

It is an arithmetic number, because the mean of its divisors is an integer number (268060968).

Almost surely, 29690290592 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 9690290592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12866926464).

9690290592 is an abundant number, since it is smaller than the sum of its proper divisors (16043562336).

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

9690290592 is a wasteful number, since it uses less digits than its factorization.

9690290592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 51.

The square root of 9690290592 is about 98439.2736259264. The cubic root of 9690290592 is about 2131.9594180482.

The spelling of 9690290592 in words is "nine billion, six hundred ninety million, two hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 433 452 678 866 904 1299 1356 1732 1808 2063 2598 2712 3464 3616 4126 5196 5424 6189 6928 8252 10392 10848 12378 13856 16504 20784 24756 33008 41568 48929 49512 66016 97858 99024 146787 195716 198048 233119 293574 391432 466238 587148 699357 782864 893279 932476 1174296 1398714 1565728 1786558 1864952 2348592 2679837 2797428 3573116 3729904 4697184 5359674 5594856 7146232 7459808 10719348 11189712 14292464 21438696 22379424 28584928 42877392 85754784 100940527 201881054 302821581 403762108 605643162 807524216 1211286324 1615048432 2422572648 3230096864 4845145296 9690290592