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9970921170 = 2325731749927
BaseRepresentation
bin10010100100101000…
…00010111011010010
3221201220001021110200
421102110002323102
5130410023434140
64325223240030
7502042301010
oct112224027322
927656037420
109970921170
114257363721
121b232a9016
13c2b978872
146a83538b0
153d5567030
hex252502ed2

9970921170 has 96 divisors (see below), whose sum is σ = 29721938688. Its totient is φ = 2271832704.

The previous prime is 9970921133. The next prime is 9970921183. The reversal of 9970921170 is 711290799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174747 + ... + 224673.

It is an arithmetic number, because the mean of its divisors is an integer number (309603528).

Almost surely, 29970921170 is an apocalyptic number.

9970921170 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 99854×99855.

It is a practical number, because each smaller number is the sum of distinct divisors of 9970921170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14860969344).

9970921170 is an abundant number, since it is smaller than the sum of its proper divisors (19751017518).

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

9970921170 is a wasteful number, since it uses less digits than its factorization.

9970921170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50264 (or 50261 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 9970921170 is about 99854.4999987482. The cubic root of 9970921170 is about 2152.3443812597.

The spelling of 9970921170 in words is "nine billion, nine hundred seventy million, nine hundred twenty-one thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 317 630 634 951 1585 1902 2219 2853 3170 4438 4755 5706 6657 9510 11095 13314 14265 19971 22190 28530 33285 39942 49927 66570 99854 99855 149781 199710 249635 299562 349489 449343 499270 698978 748905 898686 1048467 1497810 1747445 2096934 2246715 3145401 3494890 4493430 5242335 6290802 10484670 15727005 15826859 31454010 31653718 47480577 79134295 94961154 110788013 142441731 158268590 221576026 237402885 284883462 332364039 474805770 553940065 664728078 712208655 997092117 1107880130 1424417310 1661820195 1994184234 3323640390 4985460585 9970921170