Search a number
-
+
107000613948 = 223311433200723
BaseRepresentation
bin110001110100110111…
…0111100110000111100
3101020012001112101012210
41203221232330300330
53223114124121243
6121053322300420
710505401132464
oct1435156746074
9336161471183
10107000613948
1141419069a68
12188a2357710
13a122c9bc67
145270adaba4
152bb3b25933
hex18e9bbcc3c

107000613948 has 48 divisors (see below), whose sum is σ = 257903041536. Its totient is φ = 34492068480.

The previous prime is 107000613901. The next prime is 107000613949. The reversal of 107000613948 is 849316000701.

It is a super-2 number, since 2×1070006139482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107000613949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432715 + ... + 633437.

It is an arithmetic number, because the mean of its divisors is an integer number (5372980032).

Almost surely, 2107000613948 is an apocalyptic number.

It is an amenable number.

107000613948 is an abundant number, since it is smaller than the sum of its proper divisors (150902427588).

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

107000613948 is a wasteful number, since it uses less digits than its factorization.

107000613948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202194 (or 202192 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 107000613948 in words is "one hundred seven billion, six hundred thirteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 1433 2866 4299 5732 8598 17196 44423 88846 133269 177692 200723 266538 401446 533076 602169 802892 1204338 2408676 6222413 12444826 18667239 24889652 37334478 74668956 287636059 575272118 862908177 1150544236 1725816354 3451632708 8916717829 17833435658 26750153487 35666871316 53500306974 107000613948