Search a number
-
+
157270091769 = 32719290345259
BaseRepresentation
bin1001001001111000000…
…1110010011111111001
3120000221102102102220200
42102132001302133321
510034042120414034
6200125431512413
714235204503040
oct2223601623771
9500842372820
10157270091769
116077495975a
1226591528709
1311aa4810bcb
14787d137557
154156e9aa99
hex249e0727f9

157270091769 has 48 divisors (see below), whose sum is σ = 273384883200. Its totient is φ = 85107487968.

The previous prime is 157270091753. The next prime is 157270091827. The reversal of 157270091769 is 967190072751.

It is a happy number.

157270091769 is a `hidden beast` number, since 1 + 572 + 7 + 0 + 0 + 9 + 1 + 7 + 69 = 666.

It is not a de Polignac number, because 157270091769 - 24 = 157270091753 is a prime.

It is a super-2 number, since 2×1572700917692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (157270091729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3452262 + ... + 3497520.

It is an arithmetic number, because the mean of its divisors is an integer number (5695518400).

Almost surely, 2157270091769 is an apocalyptic number.

157270091769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

157270091769 is a deficient number, since it is larger than the sum of its proper divisors (116114791431).

157270091769 is a wasteful number, since it uses less digits than its factorization.

157270091769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48194 (or 48191 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 157270091769 in words is "one hundred fifty-seven billion, two hundred seventy million, ninety-one thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 2903 8709 20321 26127 45259 55157 60963 135777 165471 182889 316813 386099 407331 496413 859921 950439 1158297 2579763 2851317 3474891 6019447 7739289 18058341 54175023 131386877 394160631 919708139 1182481893 2496350663 2759124417 7489051989 8277373251 17474454641 22467155967 52423363923 157270091769