Search a number
-
+
10161506376000 = 26345372240191
BaseRepresentation
bin1001001111011110100011…
…1110100101100101000000
31022222102121211222020020000
42103313220332211211000
52312441231113013000
633340044231120000
72066100413032260
oct223675076454500
938872554866200
1010161506376000
11326851a491821
12118144bb13000
135892c250a595
14271b68b257a0
151294cdc89000
hex93de8fa5940

10161506376000 has 560 divisors, whose sum is σ = 42962438019072. Its totient is φ = 2322628992000.

The previous prime is 10161506375987. The next prime is 10161506376001. The reversal of 10161506376000 is 67360516101.

10161506376000 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 15 + 0 + 6 + 37 + 600 + 0 = 666.

10161506376000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10161506376001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3415905 + ... + 5656095.

Almost surely, 210161506376000 is an apocalyptic number.

10161506376000 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 10161506376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481219009536).

10161506376000 is an abundant number, since it is smaller than the sum of its proper divisors (32800931643072).

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

10161506376000 is an equidigital number, since it uses as much as digits as its factorization.

10161506376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240237 (or 2240208 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10161506376000 in words is "ten trillion, one hundred sixty-one billion, five hundred six million, three hundred seventy-six thousand".