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9006963972 = 2231674999007
BaseRepresentation
bin10000110001101101…
…10101110100000100
3212020201012011210020
420120312311310010
5121421240321342
64045430255140
7436125634116
oct103066656404
925221164706
109006963972
113902218386
1218b44b74b0
13b0704aca6
146163093b6
1537ab050ec
hex218db5d04

9006963972 has 48 divisors (see below), whose sum is σ = 21186816000. Its totient is φ = 2978032032.

The previous prime is 9006963971. The next prime is 9006964039. The reversal of 9006963972 is 2793696009.

It is a super-2 number, since 2×90069639722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9006963971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995493 + ... + 1004499.

It is an arithmetic number, because the mean of its divisors is an integer number (441392000).

Almost surely, 29006963972 is an apocalyptic number.

It is an amenable number.

9006963972 is an abundant number, since it is smaller than the sum of its proper divisors (12179852028).

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

9006963972 is a wasteful number, since it uses less digits than its factorization.

9006963972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680 (or 9678 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 51.

The square root of 9006963972 is about 94905.0260629014. The cubic root of 9006963972 is about 2080.6201901222.

The spelling of 9006963972 in words is "nine billion, six million, nine hundred sixty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 167 334 499 501 668 998 1002 1497 1996 2004 2994 5988 9007 18014 27021 36028 54042 83333 108084 166666 249999 333332 499998 999996 1504169 3008338 4494493 4512507 6016676 8988986 9025014 13483479 17977972 18050028 26966958 53933916 750580331 1501160662 2251740993 3002321324 4503481986 9006963972