Search a number
-
+
157024625148 = 22326476741569
BaseRepresentation
bin1001001000111101100…
…1011010000111111100
3120000022022112110000100
42102033121122013330
510033041301001043
6200045222401100
714226134201646
oct2221731320774
9500268473010
10157024625148
1160659341a86
1226523290190
1311a659c7aa1
1478586bb896
15414065ecd3
hex248f65a1fc

157024625148 has 36 divisors (see below), whose sum is σ = 397536899760. Its totient is φ = 52260635136.

The previous prime is 157024625143. The next prime is 157024625161. The reversal of 157024625148 is 841526420751.

157024625148 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 2 + 4 + 625 + 14 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157024625143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3347493 + ... + 3394076.

It is an arithmetic number, because the mean of its divisors is an integer number (11042691660).

Almost surely, 2157024625148 is an apocalyptic number.

157024625148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157024625148 is an abundant number, since it is smaller than the sum of its proper divisors (240512274612).

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

157024625148 is a wasteful number, since it uses less digits than its factorization.

157024625148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6742226 (or 6742221 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 157024625148 in words is "one hundred fifty-seven billion, twenty-four million, six hundred twenty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 647 1294 1941 2588 3882 5823 7764 11646 23292 6741569 13483138 20224707 26966276 40449414 60674121 80898828 121348242 242696484 4361795143 8723590286 13085385429 17447180572 26170770858 39256156287 52341541716 78512312574 157024625148