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32420101896 = 233271313813583
BaseRepresentation
bin11110001100011000…
…110111111100001000
310002200102010211001200
4132030120313330020
51012344021230041
622521003144200
72225254214340
oct361430677410
9102612124050
1032420101896
1112827336446
126349515060
13309889b660
1417d7a1bd20
15c9b3211b6
hex78c637f08

32420101896 has 192 divisors, whose sum is σ = 108175441920. Its totient is φ = 8541780480.

The previous prime is 32420101859. The next prime is 32420101897. The reversal of 32420101896 is 69810102423.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32420101896.

It is not an unprimeable number, because it can be changed into a prime (32420101897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9046521 + ... + 9050103.

It is an arithmetic number, because the mean of its divisors is an integer number (563413760).

Almost surely, 232420101896 is an apocalyptic number.

32420101896 is a gapful number since it is divisible by the number (36) 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 32420101896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54087720960).

32420101896 is an abundant number, since it is smaller than the sum of its proper divisors (75755340024).

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

32420101896 is a wasteful number, since it uses less digits than its factorization.

32420101896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 32420101896 in words is "thirty-two billion, four hundred twenty million, one hundred one thousand, eight hundred ninety-six".