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872022853632 = 21137231223419
BaseRepresentation
bin11001011000010001001…
…11001100100000000000
310002100211202211210101010
430230020213030200000
5103241400322304012
61504333552040520
7120000352646100
oct14541047144000
93070752753333
10872022853632
11306906192727
12121006833140
1364301510628
14302c58a5200
1517a3b2cbc3c
hexcb089cc800

872022853632 has 576 divisors, whose sum is σ = 2810839449600. Its totient is φ = 239458222080.

The previous prime is 872022853631. The next prime is 872022853651. The reversal of 872022853632 is 236358220278.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (872022853631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2081199919 + ... + 2081200337.

It is an arithmetic number, because the mean of its divisors is an integer number (4879929600).

Almost surely, 2872022853632 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 872022853632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405419724800).

872022853632 is an abundant number, since it is smaller than the sum of its proper divisors (1938816595968).

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

872022853632 is a wasteful number, since it uses less digits than its factorization.

872022853632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 872022853632 in words is "eight hundred seventy-two billion, twenty-two million, eight hundred fifty-three thousand, six hundred thirty-two".