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31790079153 = 35735115323
BaseRepresentation
bin11101100110110101…
…100001110010110001
310001001111122100100000
4131212311201302301
51010101230013103
622334255420213
72203534133340
oct354665416261
9101044570300
1031790079153
1112533741a98
1261b2524669
132cc81c0631
14177809bb57
15c60d72aa3
hex766d61cb1

31790079153 has 48 divisors (see below), whose sum is σ = 54448249856. Its totient is φ = 18157173840.

The previous prime is 31790079151. The next prime is 31790079187. The reversal of 31790079153 is 35197009713.

It is not a de Polignac number, because 31790079153 - 21 = 31790079151 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 31790079099 and 31790079108.

It is not an unprimeable number, because it can be changed into a prime (31790079151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5969550 + ... + 5974872.

Almost surely, 231790079153 is an apocalyptic number.

It is an amenable number.

31790079153 is a deficient number, since it is larger than the sum of its proper divisors (22658170703).

31790079153 is an equidigital number, since it uses as much as digits as its factorization.

31790079153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8856 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 178605, while the sum is 45.

The spelling of 31790079153 in words is "thirty-one billion, seven hundred ninety million, seventy-nine thousand, one hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 3511 5323 10533 15969 24577 31599 37261 47907 73731 94797 111783 143721 221193 284391 335349 431163 663579 853173 1006047 1293489 1990737 3018141 5972211 9054423 18689053 56067159 130823371 168201477 392470113 504604431 1177410339 1513813293 3532231017 4541439879 10596693051 31790079153