Search a number
-
+
157390426080 = 25345412711093
BaseRepresentation
bin1001001010010100110…
…0110100111111100000
3120001020210212001120000
42102211030310333200
510034313422113310
6200145411020000
714241165355656
oct2224514647740
9501223761500
10157390426080
11608268796a8
122660589a600
1311ac3724044
1478910dcdd6
15416281a4c0
hex24a5334fe0

157390426080 has 480 divisors, whose sum is σ = 571626937728. Its totient is φ = 40758681600.

The previous prime is 157390426049. The next prime is 157390426087. The reversal of 157390426080 is 80624093751.

157390426080 is a `hidden beast` number, since 1 + 5 + 7 + 39 + 0 + 4 + 2 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157390426087) 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, 143998014 + ... + 143999106.

It is a 1-persistent number, because it is pandigital, but 2⋅157390426080 = 314780852160 is not.

Almost surely, 2157390426080 is an apocalyptic number.

157390426080 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 157390426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285813468864).

157390426080 is an abundant number, since it is smaller than the sum of its proper divisors (414236511648).

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

157390426080 is a wasteful number, since it uses less digits than its factorization.

157390426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 157390426080 in words is "one hundred fifty-seven billion, three hundred ninety million, four hundred twenty-six thousand, eighty".