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151516045000 = 235430303209
BaseRepresentation
bin1000110100011100001…
…1110101111011001000
3112111002102011120122101
42031013003311323020
54440301101420000
6153334442403144
713642465063345
oct2150703657310
9474072146571
10151516045000
1159291948201
12254465004b4
131139869b8c8
147494c6d7cc
153e1bc47e6a
hex23470f5ec8

151516045000 has 40 divisors (see below), whose sum is σ = 355002105150. Its totient is φ = 60606416000.

The previous prime is 151516044983. The next prime is 151516045073. The reversal of 151516045000 is 540615151.

It is a happy number.

151516045000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 10093417156 + 141422627844 = 100466^2 + 376062^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1515160450002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 151516045000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15146605 + ... + 15156604.

Almost surely, 2151516045000 is an apocalyptic number.

151516045000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151516045000 is an abundant number, since it is smaller than the sum of its proper divisors (203486060150).

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

151516045000 is an equidigital number, since it uses as much as digits as its factorization.

151516045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30303235 (or 30303216 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 151516045000 in words is "one hundred fifty-one billion, five hundred sixteen million, forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 30303209 60606418 121212836 151516045 242425672 303032090 606064180 757580225 1212128360 1515160450 3030320900 3787901125 6060641800 7575802250 15151604500 18939505625 30303209000 37879011250 75758022500 151516045000