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7121403972 = 22321744326267
BaseRepresentation
bin1101010000111100…
…00000000001000100
3200101022011210201200
412220132000001010
5104041034411342
63134352222500
7341321635464
oct65036000104
920338153650
107121403972
113024935231
121468b3aa30
13896501c07
144b7b1dba4
152ba2ea94c
hex1a8780044

7121403972 has 72 divisors (see below), whose sum is σ = 19103980896. Its totient is φ = 2229037824.

The previous prime is 7121403941. The next prime is 7121403973. The reversal of 7121403972 is 2793041217.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7121403973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257983 + ... + 284249.

It is an arithmetic number, because the mean of its divisors is an integer number (265333068).

Almost surely, 27121403972 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 7121403972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9551990448).

7121403972 is an abundant number, since it is smaller than the sum of its proper divisors (11982576924).

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

7121403972 is a wasteful number, since it uses less digits than its factorization.

7121403972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26737 (or 26732 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7121403972 is about 84388.4113608024. The cubic root of 7121403972 is about 1923.9267844281.

The spelling of 7121403972 in words is "seven billion, one hundred twenty-one million, four hundred three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 443 612 886 1329 1772 2658 3987 5316 7531 7974 15062 15948 22593 26267 30124 45186 52534 67779 78801 90372 105068 135558 157602 236403 271116 315204 446539 472806 893078 945612 1339617 1786156 2679234 4018851 5358468 8037702 11636281 16075404 23272562 34908843 46545124 69817686 104726529 139635372 197816777 209453058 395633554 418906116 593450331 791267108 1186900662 1780350993 2373801324 3560701986 7121403972