Search a number
-
+
157791788154 = 233711135874973
BaseRepresentation
bin1001001011110100011…
…1111001110001111010
3120002021210002100211000
42102331013321301322
510041124144210104
6200253305345430
714254141032540
oct2227507716172
9502253070730
10157791788154
1160a123949a0
12266b8198276
1311b589215b0
1478cc539d90
154187b9c639
hex24bd1f9c7a

157791788154 has 256 divisors, whose sum is σ = 471697551360. Its totient is φ = 37760152320.

The previous prime is 157791788129. The next prime is 157791788171. The reversal of 157791788154 is 451887197751.

157791788154 is a `hidden beast` number, since 1 + 577 + 9 + 1 + 7 + 8 + 8 + 1 + 54 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 157791788091 and 157791788100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31727212 + ... + 31732184.

It is an arithmetic number, because the mean of its divisors is an integer number (1842568560).

Almost surely, 2157791788154 is an apocalyptic number.

157791788154 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157791788154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235848775680).

157791788154 is an abundant number, since it is smaller than the sum of its proper divisors (313905763206).

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

157791788154 is a wasteful number, since it uses less digits than its factorization.

157791788154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5596 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 63.

The spelling of 157791788154 in words is "one hundred fifty-seven billion, seven hundred ninety-one million, seven hundred eighty-eight thousand, one hundred fifty-four".