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9974022160 = 2456116312539
BaseRepresentation
bin10010100100111111…
…11000000000010000
3221202002212211020011
421102133320000100
5130411322202120
64325413524304
7502110534544
oct112237700020
927662784204
109974022160
114259091523
121b24343694
13c2c4c317b
146a891da24
153d597ac5a
hex2527f8010

9974022160 has 80 divisors (see below), whose sum is σ = 23716249920. Its totient is φ = 3899819520.

The previous prime is 9974022137. The next prime is 9974022161. The reversal of 9974022160 is 612204799.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×99740221602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (9974022161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789171 + ... + 801709.

It is an arithmetic number, because the mean of its divisors is an integer number (296453124).

Almost surely, 29974022160 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 9974022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11858124960).

9974022160 is an abundant number, since it is smaller than the sum of its proper divisors (13742227760).

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

9974022160 is a wasteful number, since it uses less digits than its factorization.

9974022160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12776 (or 12770 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 9974022160 is about 99870.0263342310. The cubic root of 9974022160 is about 2152.5674869115.

The spelling of 9974022160 in words is "nine billion, nine hundred seventy-four million, twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 163 244 305 326 488 610 652 815 976 1220 1304 1630 2440 2608 3260 4880 6520 9943 12539 13040 19886 25078 39772 49715 50156 62695 79544 99430 100312 125390 159088 198860 200624 250780 397720 501560 764879 795440 1003120 1529758 2043857 3059516 3824395 4087714 6119032 7648790 8175428 10219285 12238064 15297580 16350856 20438570 30595160 32701712 40877140 61190320 81754280 124675277 163508560 249350554 498701108 623376385 997402216 1246752770 1994804432 2493505540 4987011080 9974022160