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32121013008 = 2437199751871
BaseRepresentation
bin11101111010100011…
…111100001100010000
310001220120100112020110
4131322203330030100
51011240434404013
622431200441320
72214663051150
oct357243741420
9101816315213
1032121013008
1112693524547
126285319240
13304b92c496
1417aa004760
15c7ee422c3
hex77a8fc310

32121013008 has 160 divisors (see below), whose sum is σ = 100855767040. Its totient is φ = 8604610560.

The previous prime is 32121013007. The next prime is 32121013039. The reversal of 32121013008 is 80031012123.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (32121013007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593313 + ... + 645183.

It is an arithmetic number, because the mean of its divisors is an integer number (630348544).

Almost surely, 232121013008 is an apocalyptic number.

32121013008 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32121013008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50427883520).

32121013008 is an abundant number, since it is smaller than the sum of its proper divisors (68734754032).

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

32121013008 is a wasteful number, since it uses less digits than its factorization.

32121013008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52005 (or 51999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 32121013008 in words is "thirty-two billion, one hundred twenty-one million, thirteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 97 112 114 133 152 168 194 228 266 291 304 336 388 399 456 532 582 679 776 798 912 1064 1164 1358 1552 1596 1843 2037 2128 2328 2716 3192 3686 4074 4656 5432 5529 6384 7372 8148 10864 11058 12901 14744 16296 22116 25802 29488 32592 38703 44232 51604 51871 77406 88464 103208 103742 154812 155613 206416 207484 309624 311226 363097 414968 619248 622452 726194 829936 985549 1089291 1244904 1452388 1971098 2178582 2489808 2904776 2956647 3942196 4357164 5031487 5809552 5913294 6898843 7884392 8714328 10062974 11826588 13797686 15094461 15768784 17428656 20125948 20696529 23653176 27595372 30188922 35220409 40251896 41393058 47306352 55190744 60377844 70440818 80503792 82786116 95598253 105661227 110381488 120755688 140881636 165572232 191196506 211322454 241511376 281763272 286794759 331144464 382393012 422644908 563526544 573589518 669187771 764786024 845289816 1147179036 1338375542 1529572048 1690579632 2007563313 2294358072 2676751084 4015126626 4588716144 5353502168 8030253252 10707004336 16060506504 32121013008