Search a number
-
+
1357715046672 = 24329428576713
BaseRepresentation
bin10011110000011110000…
…111111000000100010000
311210210111111101121021100
4103300132013320010100
5134221100022443142
62515420425224400
7200043305323515
oct23603607700420
94723444347240
101357715046672
11483892825a76
1219b174032100
139b05534a12a
14499dc7a930c
15254b5c79b4c
hex13c1e1f8110

1357715046672 has 30 divisors (see below), whose sum is σ = 3799716415742. Its totient is φ = 452571682176.

The previous prime is 1357715046671. The next prime is 1357715046691. The reversal of 1357715046672 is 2766405177531.

1357715046672 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 7 + 1 + 504 + 66 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1342298347776 + 15416698896 = 1158576^2 + 124164^2 .

It is a super-2 number, since 2×13577150466722 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1357715046671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4714288213 + ... + 4714288500.

Almost surely, 21357715046672 is an apocalyptic number.

1357715046672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1357715046672 is an abundant number, since it is smaller than the sum of its proper divisors (2442001369070).

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

1357715046672 is a wasteful number, since it uses less digits than its factorization.

1357715046672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428576727 (or 9428576718 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 1357715046672 in words is "one trillion, three hundred fifty-seven billion, seven hundred fifteen million, forty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9428576713 18857153426 28285730139 37714306852 56571460278 75428613704 84857190417 113142920556 150857227408 169714380834 226285841112 339428761668 452571682224 678857523336 1357715046672