Search a number
-
+
157018543718400 = 2153352713181431
BaseRepresentation
bin100011101100111010111010…
…100001011000000000000000
3202120221211022021201021021000
4203230322322201120000000
5131040042434142442100
61313541153445532000
745034133614055550
oct4354727241300000
9676854267637230
10157018543718400
1146038210511711
121573b2b4714000
13697ca28c46080
142aaba49375160
15132462cad8900
hex8eceba858000

157018543718400 has 3072 divisors, whose sum is σ = 715596398899200. Its totient is φ = 32869711872000.

The previous prime is 157018543718389. The next prime is 157018543718411. The reversal of 157018543718400 is 4817345810751.

It is a happy number.

157018543718400 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 18 + 543 + 7 + 1 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157018543718389) and next prime (157018543718411).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 364312166185 + ... + 364312166615.

It is an arithmetic number, because the mean of its divisors is an integer number (232941536100).

Almost surely, 2157018543718400 is an apocalyptic number.

157018543718400 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 157018543718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357798199449600).

157018543718400 is an abundant number, since it is smaller than the sum of its proper divisors (558577855180800).

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

157018543718400 is a wasteful number, since it uses less digits than its factorization.

157018543718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 157018543718400 in words is "one hundred fifty-seven trillion, eighteen billion, five hundred forty-three million, seven hundred eighteen thousand, four hundred".