Search a number
-
+
15149312472000 = 263537593893929
BaseRepresentation
bin1101110001110011100101…
…1000110111001111000000
31222122021000122002212000010
43130130321120313033000
53441201242443101000
652115255330024520
73122334041233050
oct334347130671700
958567018085003
1015149312472000
114910872a48773
121848056118140
1385b760208625
143a5332c17560
151b4105bd6d50
hexdc7396373c0

15149312472000 has 896 divisors, whose sum is σ = 58302436608000. Its totient is φ = 3394395340800.

The previous prime is 15149312471999. The next prime is 15149312472017. The reversal of 15149312472000 is 27421394151.

It is a self number, because there is not a number n which added to its sum of digits gives 15149312472000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3855766036 + ... + 3855769964.

Almost surely, 215149312472000 is an apocalyptic number.

15149312472000 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 15149312472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29151218304000).

15149312472000 is an abundant number, since it is smaller than the sum of its proper divisors (43153124136000).

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

15149312472000 is a wasteful number, since it uses less digits than its factorization.

15149312472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 15149312472000 in words is "fifteen trillion, one hundred forty-nine billion, three hundred twelve million, four hundred seventy-two thousand".