Search a number
-
+
157206746637 = 32137227356093
BaseRepresentation
bin1001001001101001000…
…0001001011000001101
3120000210000020011201200
42102122100021120031
510033424411343022
6200115250100113
714233505204253
oct2223220113015
9500700204650
10157206746637
1160742123606
122657427a639
1311a94662495
1478749685d3
154151636bac
hex249a40960d

157206746637 has 24 divisors (see below), whose sum is σ = 228838614264. Its totient is φ = 103991875584.

The previous prime is 157206746623. The next prime is 157206746647. The reversal of 157206746637 is 736647602751.

It is a happy number.

157206746637 is a `hidden beast` number, since 1 + 572 + 0 + 6 + 7 + 4 + 6 + 63 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37771533801 + 119435212836 = 194349^2 + 345594^2 .

It is not a de Polignac number, because 157206746637 - 210 = 157206745613 is a prime.

It is a super-2 number, since 2×1572067466372 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157206746647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2774563 + ... + 2830655.

It is an arithmetic number, because the mean of its divisors is an integer number (9534942261).

Almost surely, 2157206746637 is an apocalyptic number.

It is an amenable number.

157206746637 is a deficient number, since it is larger than the sum of its proper divisors (71631867627).

157206746637 is a wasteful number, since it uses less digits than its factorization.

157206746637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58509 (or 58506 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 157206746637 in words is "one hundred fifty-seven billion, two hundred six million, seven hundred forty-six thousand, six hundred thirty-seven".

Divisors: 1 3 9 137 411 1233 2273 6819 20457 56093 168279 311401 504837 934203 2802609 7684741 23054223 69162669 127499389 382498167 1147494501 17467416293 52402248879 157206746637