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151216347420 = 223351779208511
BaseRepresentation
bin1000110011010100110…
…0100101100100011100
3112110022112020100212000
42030311030211210130
54434142341104140
6153245015042300
713632165513435
oct2146514454434
9473275210760
10151216347420
115914875aa56
1225382070390
131134b578668
14746713848c
153e00798a30
hex233532591c

151216347420 has 192 divisors, whose sum is σ = 504432230400. Its totient is φ = 37471749120.

The previous prime is 151216347397. The next prime is 151216347523. The reversal of 151216347420 is 24743612151.

151216347420 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 163 + 474 + 20 = 666.

It is a super-2 number, since 2×1512163474202 (a number of 23 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620965 + ... + 829475.

It is an arithmetic number, because the mean of its divisors is an integer number (2627251200).

Almost surely, 2151216347420 is an apocalyptic number.

151216347420 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 151216347420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252216115200).

151216347420 is an abundant number, since it is smaller than the sum of its proper divisors (353215882980).

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

151216347420 is a wasteful number, since it uses less digits than its factorization.

151216347420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208625 (or 208617 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 151216347420 its reverse (24743612151), we get a palindrome (175959959571).

The spelling of 151216347420 in words is "one hundred fifty-one billion, two hundred sixteen million, three hundred forty-seven thousand, four hundred twenty".