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15070050000000 = 273458612
BaseRepresentation
bin1101101101001100010011…
…1110100001110010000000
31222100200102200210002020000
43123103010332201302000
53433401430300000000
652015030240120000
73113526613313622
oct333230476416200
958320380702200
1015070050000000
114890199393366
121834815306000
1385413ab22518
143a1573dc4c12
151b2017350000
hexdb4c4fa1c80

15070050000000 has 1080 divisors, whose sum is σ = 56994338494665. Its totient is φ = 3952800000000.

The previous prime is 15070049999959. The next prime is 15070050000149. The reversal of 15070050000000 is 5007051.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 2275922235456 + 12794127764544 = 1508616^2 + 3576888^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2745000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 247049999970 + ... + 247050000030.

Almost surely, 215070050000000 is an apocalyptic number.

15070050000000 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 15070050000000

15070050000000 is an abundant number, since it is smaller than the sum of its proper divisors (41924288494665).

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

15070050000000 is an frugal number, since it uses more digits than its factorization.

15070050000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

Multiplying 15070050000000 by its sum of digits (18), we get a square (271260900000000 = 164700002).

15070050000000 divided by its sum of digits (18) gives a square (837225000000 = 9150002).

Adding to 15070050000000 its reverse (5007051), we get a palindrome (15070055007051).

The spelling of 15070050000000 in words is "fifteen trillion, seventy billion, fifty million", and thus it is an aban number and an uban number.