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151600256020 = 22541421439141
BaseRepresentation
bin1000110100110000010…
…1000101010000010100
3112111022021121221110001
42031030011011100110
54440434131143040
6153351051341044
713644536625463
oct2151405052024
9474267557401
10151600256020
1159325435194
122546a751784
13113acc74905
1474a21109da
153e2432e59a
hex234c145414

151600256020 has 48 divisors (see below), whose sum is σ = 326900817936. Its totient is φ = 59020416000.

The previous prime is 151600255999. The next prime is 151600256051. The reversal of 151600256020 is 20652006151.

It can be written as a sum of positive squares in 8 ways, for example, as 36703662724 + 114896593296 = 191582^2 + 338964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 151600256020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125650 + ... + 564790.

It is an arithmetic number, because the mean of its divisors is an integer number (6810433707).

Almost surely, 2151600256020 is an apocalyptic number.

151600256020 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 151600256020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163450408968).

151600256020 is an abundant number, since it is smaller than the sum of its proper divisors (175300561916).

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

151600256020 is a wasteful number, since it uses less digits than its factorization.

151600256020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439612 (or 439610 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 151600256020 in words is "one hundred fifty-one billion, six hundred million, two hundred fifty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 421 820 842 1684 2105 4210 8420 17261 34522 69044 86305 172610 345220 439141 878282 1756564 2195705 4391410 8782820 18004781 36009562 72019124 90023905 180047810 184878361 360095620 369756722 739513444 924391805 1848783610 3697567220 7580012801 15160025602 30320051204 37900064005 75800128010 151600256020