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872332941672 = 23321931156713127
BaseRepresentation
bin11001011000110110001…
…10000101100101101000
310002101122101022220012100
430230123012011211220
5103243014213113142
61504424430213400
7120011136442623
oct14543306054550
93071571286170
10872332941672
11306a55227435
12121092654260
136435083108a
1430314b42dba
1517a5862eb4c
hexcb1b185968

872332941672 has 192 divisors, whose sum is σ = 2568971059200. Its totient is φ = 266396895360.

The previous prime is 872332941643. The next prime is 872332941677. The reversal of 872332941672 is 276149233278.

It is a happy number.

It is a super-2 number, since 2×8723329416722 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872332941677) 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, 66446773 + ... + 66459899.

It is an arithmetic number, because the mean of its divisors is an integer number (13380057600).

Almost surely, 2872332941672 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 872332941672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284485529600).

872332941672 is an abundant number, since it is smaller than the sum of its proper divisors (1696638117528).

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

872332941672 is a wasteful number, since it uses less digits than its factorization.

872332941672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14756 (or 14749 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 872332941672 in words is "eight hundred seventy-two billion, three hundred thirty-two million, nine hundred forty-one thousand, six hundred seventy-two".