Search a number
-
+
107393378456 = 23713147518377
BaseRepresentation
bin110010000000100100…
…1001110100010011000
3101021012102120212211102
41210001021032202120
53224420201102311
6121200312450532
710521210440510
oct1440111164230
9337172525742
10107393378456
11415aa842831
12189919a9a48
13a1864790b0
1452aad3a840
152bd835a43b
hex190124e898

107393378456 has 32 divisors (see below), whose sum is σ = 247830875040. Its totient is φ = 42485292288.

The previous prime is 107393378369. The next prime is 107393378471. The reversal of 107393378456 is 654873393701.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73758461 + ... + 73759916.

It is an arithmetic number, because the mean of its divisors is an integer number (7744714845).

Almost surely, 2107393378456 is an apocalyptic number.

It is an amenable number.

107393378456 is an abundant number, since it is smaller than the sum of its proper divisors (140437496584).

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

107393378456 is a wasteful number, since it uses less digits than its factorization.

107393378456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147518403 (or 147518399 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 56.

The spelling of 107393378456 in words is "one hundred seven billion, three hundred ninety-three million, three hundred seventy-eight thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 147518377 295036754 590073508 1032628639 1180147016 1917738901 2065257278 3835477802 4130514556 7670955604 8261029112 13424172307 15341911208 26848344614 53696689228 107393378456