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151641138220 = 22511133110631609
BaseRepresentation
bin1000110100111010000…
…1000010010000101100
3112111102010112222021121
42031032201002100230
54441030112410340
6153355111510324
713645544256535
oct2151641022054
9474363488247
10151641138220
1159346518630
12254803883a4
13113b8589b70
1474a771368c
153e27c0794a
hex234e84242c

151641138220 has 192 divisors, whose sum is σ = 386790727680. Its totient is φ = 49181644800.

The previous prime is 151641138179. The next prime is 151641138247. The reversal of 151641138220 is 22831146151.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94244776 + ... + 94246384.

It is an arithmetic number, because the mean of its divisors is an integer number (2014535040).

Almost surely, 2151641138220 is an apocalyptic number.

151641138220 is a gapful number since it is divisible by the number (10) 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 151641138220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193395363840).

151641138220 is an abundant number, since it is smaller than the sum of its proper divisors (235149589460).

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

151641138220 is a wasteful number, since it uses less digits than its factorization.

151641138220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 151641138220 in words is "one hundred fifty-one billion, six hundred forty-one million, one hundred thirty-eight thousand, two hundred twenty".