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32241380864 = 297112331237
BaseRepresentation
bin11110000001101111…
…000110111000000000
310002012221211211220012
4132001233012320000
51012012243141424
622451140404052
72220654133640
oct360157067000
9102187754805
1032241380864
1112745467710
1262b96a6628
13306a854974
1417bbdb8520
15c8a7bbb0e
hex781bc6e00

32241380864 has 480 divisors, whose sum is σ = 88938736128. Its totient is φ = 11313561600.

The previous prime is 32241380861. The next prime is 32241380867. The reversal of 32241380864 is 46808314223.

It is an interprime number because it is at equal distance from previous prime (32241380861) and next prime (32241380867).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32241380861) 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, 871388654 + ... + 871388690.

Almost surely, 232241380864 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 32241380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44469368064).

32241380864 is an abundant number, since it is smaller than the sum of its proper divisors (56697355264).

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

32241380864 is a wasteful number, since it uses less digits than its factorization.

32241380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 32241380864 in words is "thirty-two billion, two hundred forty-one million, three hundred eighty thousand, eight hundred sixty-four".