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9970842096 = 24366191381
BaseRepresentation
bin10010100100100111…
…01111100111110000
3221201212220021000000
421102103233213300
5130410013421341
64325221430000
7502041521325
oct112223574760
927655807000
109970842096
11425730a276
121b2326b300
13c2b94b887
146a8332b4c
153d554d8b6
hex2524ef9f0

9970842096 has 140 divisors (see below), whose sum is σ = 29032309720. Its totient is φ = 3315841920.

The previous prime is 9970841977. The next prime is 9970842127. The reversal of 9970842096 is 6902480799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7219326 + ... + 7220706.

Almost surely, 29970842096 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 9970842096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14516154860).

9970842096 is an abundant number, since it is smaller than the sum of its proper divisors (19061467624).

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

9970842096 is a wasteful number, since it uses less digits than its factorization.

9970842096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9970842096 is about 99854.1040518616. The cubic root of 9970842096 is about 2152.3386915503.

The spelling of 9970842096 in words is "nine billion, nine hundred seventy million, eight hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 619 648 729 972 1238 1296 1381 1458 1857 1944 2476 2762 2916 3714 3888 4143 4952 5524 5571 5832 7428 8286 9904 11048 11142 11664 12429 14856 16572 16713 22096 22284 24858 29712 33144 33426 37287 44568 49716 50139 66288 66852 74574 89136 99432 100278 111861 133704 149148 150417 198864 200556 223722 267408 298296 300834 335583 401112 447444 451251 596592 601668 671166 802224 854839 894888 902502 1006749 1203336 1342332 1709678 1789776 1805004 2013498 2406672 2564517 2684664 3419356 3610008 4026996 5129034 5369328 6838712 7220016 7693551 8053992 10258068 13677424 15387102 16107984 20516136 23080653 30774204 41032272 46161306 61548408 69241959 92322612 123096816 138483918 184645224 207725877 276967836 369290448 415451754 553935672 623177631 830903508 1107871344 1246355262 1661807016 2492710524 3323614032 4985421048 9970842096