Search a number
-
+
157338934047 = 3298171780799
BaseRepresentation
bin1001001010001000100…
…0011001101100011111
3120001010012221222202200
42102202020121230133
510034212231342142
6200140331222543
714240001605301
oct2224210315437
9501105858680
10157338934047
11607aa7a99a9
12265b05a7a53
1311ab5b65799
147888337971
15415d04864c
hex24a2219b1f

157338934047 has 12 divisors (see below), whose sum is σ = 227290627200. Its totient is φ = 104881879008.

The previous prime is 157338934043. The next prime is 157338934069. The reversal of 157338934047 is 740439833751.

157338934047 is a `hidden beast` number, since 1 + 573 + 38 + 9 + 34 + 0 + 4 + 7 = 666.

It is not a de Polignac number, because 157338934047 - 22 = 157338934043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157338933984 and 157338934002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157338934043) 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 11 ways as a sum of consecutive naturals, for example, 802047 + ... + 978752.

It is an arithmetic number, because the mean of its divisors is an integer number (18940885600).

Almost surely, 2157338934047 is an apocalyptic number.

157338934047 is a deficient number, since it is larger than the sum of its proper divisors (69951693153).

157338934047 is a wasteful number, since it uses less digits than its factorization.

157338934047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790622 (or 1790619 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 157338934047 in words is "one hundred fifty-seven billion, three hundred thirty-eight million, nine hundred thirty-four thousand, forty-seven".

Divisors: 1 3 9 9817 29451 88353 1780799 5342397 16027191 17482103783 52446311349 157338934047