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9972139136 = 271674491039
BaseRepresentation
bin10010100100110001…
…01100010010000000
3221201222100011012112
421102120230102000
5130410331423021
64325305314452
7502055532641
oct112230542200
927658304175
109972139136
114258015803
121b23795a28
13c2bcb405b
146a858d6c8
153d5707d5b
hex25262c480

9972139136 has 64 divisors (see below), whose sum is σ = 20049120000. Its totient is φ = 4940414976.

The previous prime is 9972139127. The next prime is 9972139171. The reversal of 9972139136 is 6319312799.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9597305 + ... + 9598343.

It is an arithmetic number, because the mean of its divisors is an integer number (313267500).

Almost surely, 29972139136 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 9972139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560000).

9972139136 is an abundant number, since it is smaller than the sum of its proper divisors (10076980864).

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

9972139136 is a wasteful number, since it uses less digits than its factorization.

9972139136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1657 counting only the distinct ones).

The product of its digits is 551124, while the sum is 50.

The square root of 9972139136 is about 99860.5985161315. The cubic root of 9972139136 is about 2152.4320152739.

The spelling of 9972139136 in words is "nine billion, nine hundred seventy-two million, one hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 167 334 449 668 898 1039 1336 1796 2078 2672 3592 4156 5344 7184 8312 10688 14368 16624 21376 28736 33248 57472 66496 74983 132992 149966 173513 299932 347026 466511 599864 694052 933022 1199728 1388104 1866044 2399456 2776208 3732088 4798912 5552416 7464176 9597824 11104832 14928352 22209664 29856704 59713408 77907337 155814674 311629348 623258696 1246517392 2493034784 4986069568 9972139136