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153161062080 = 26351317532257
BaseRepresentation
bin1000111010100100011…
…1000101011011000000
3112122100001120002211220
42032221013011123000
510002133212441310
6154210005035040
714031321355455
oct2165107053300
9478301502756
10153161062080
1159a56476954
12258253b5a80
131159b4369b0
1475ad52182c
153eb638a670
hex23a91c56c0

153161062080 has 672 divisors, whose sum is σ = 567357182784. Its totient is φ = 34678505472.

The previous prime is 153161062073. The next prime is 153161062111. The reversal of 153161062080 is 80260161351.

153161062080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1531610620802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 595957312 + ... + 595957568.

It is an arithmetic number, because the mean of its divisors is an integer number (844281522).

Almost surely, 2153161062080 is an apocalyptic number.

153161062080 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 153161062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283678591392).

153161062080 is an abundant number, since it is smaller than the sum of its proper divisors (414196120704).

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

153161062080 is a wasteful number, since it uses less digits than its factorization.

153161062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 153161062080 in words is "one hundred fifty-three billion, one hundred sixty-one million, sixty-two thousand, eighty".