Search a number
-
+
10457677136 = 2441101315737
BaseRepresentation
bin10011011110101001…
…10111110101010000
3222222210222001010102
421233110313311100
5132404131132021
64445412151532
7520102534424
oct115724676520
928883861112
1010457677136
1144870a4685
12203a3085a8
13ca877464a
14712c5cb84
1541316600b
hex26f537d50

10457677136 has 40 divisors (see below), whose sum is σ = 20777748264. Its totient is φ = 5095946240.

The previous prime is 10457677079. The next prime is 10457677169. The reversal of 10457677136 is 63177675401.

It can be written as a sum of positive squares in 4 ways, for example, as 3841600 + 10453835536 = 1960^2 + 102244^2 .

It is a super-2 number, since 2×104576771362 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 656660 + ... + 672396.

Almost surely, 210457677136 is an apocalyptic number.

10457677136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10457677136 is a deficient number, since it is larger than the sum of its proper divisors (10320071128).

10457677136 is a wasteful number, since it uses less digits than its factorization.

10457677136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16799 (or 16793 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 10457677136 in words is "ten billion, four hundred fifty-seven million, six hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 1013 2026 4052 8104 15737 16208 31474 41533 62948 83066 125896 166132 251792 332264 645217 664528 1290434 2580868 5161736 10323472 15941581 31883162 63766324 127532648 255065296 653604821 1307209642 2614419284 5228838568 10457677136