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9970955952 = 2432323710613
BaseRepresentation
bin10010100100101000…
…01011011010110000
3221201220010001011220
421102110023122300
5130410031042302
64325224105040
7502042504266
oct112224133260
927656101156
109970955952
114257387871
121b23305180
13c2b98b649
146a8362436
153d55724bc
hex25250b6b0

9970955952 has 120 divisors (see below), whose sum is σ = 27657281904. Its totient is φ = 3092931072.

The previous prime is 9970955947. The next prime is 9970955977. The reversal of 9970955952 is 2595590799.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934198 + ... + 944810.

Almost surely, 29970955952 is an apocalyptic number.

9970955952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9970955952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828640952).

9970955952 is an abundant number, since it is smaller than the sum of its proper divisors (17686325952).

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

9970955952 is a wasteful number, since it uses less digits than its factorization.

9970955952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10707 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 11481750, while the sum is 60.

The square root of 9970955952 is about 99854.6741620041. The cubic root of 9970955952 is about 2152.3468839624.

The spelling of 9970955952 in words is "nine billion, nine hundred seventy million, nine hundred fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 529 552 592 851 888 1058 1104 1587 1702 1776 2116 2553 3174 3404 4232 5106 6348 6808 8464 10212 10613 12696 13616 19573 20424 21226 25392 31839 39146 40848 42452 58719 63678 78292 84904 117438 127356 156584 169808 234876 244099 254712 313168 392681 469752 488198 509424 732297 785362 939504 976396 1178043 1464594 1570724 1952792 2356086 2929188 3141448 3905584 4712172 5614277 5858376 6282896 9031663 9424344 11228554 11716752 16842831 18063326 18848688 22457108 27094989 33685662 36126652 44914216 54189978 67371324 72253304 89828432 108379956 134742648 144506608 207728249 216759912 269485296 415456498 433519824 623184747 830912996 1246369494 1661825992 2492738988 3323651984 4985477976 9970955952