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10942237152 = 25327112311447
BaseRepresentation
bin10100011000011010…
…10100100111100000
31001020120202020111200
422030031110213200
5134402203042102
65005442041200
7535105324020
oct121415244740
931216666450
1010942237152
114705675800
122154649200
131054c81a52
1475b355a80
1544097e51c
hex28c3549e0

10942237152 has 432 divisors, whose sum is σ = 40377931776. Its totient is φ = 2748556800.

The previous prime is 10942237151. The next prime is 10942237223. The reversal of 10942237152 is 25173224901.

It is a super-2 number, since 2×109422371522 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10942237151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7561293 + ... + 7562739.

Almost surely, 210942237152 is an apocalyptic number.

10942237152 is a gapful number since it is divisible by the number (12) 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 10942237152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20188965888).

10942237152 is an abundant number, since it is smaller than the sum of its proper divisors (29435694624).

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

10942237152 is a wasteful number, since it uses less digits than its factorization.

10942237152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10942237152 in words is "ten billion, nine hundred forty-two million, two hundred thirty-seven thousand, one hundred fifty-two".