Search a number
-
+
10742736366 = 2327117348589
BaseRepresentation
bin10100000000101000…
…10010010111101110
31000201200100112212200
422000110102113232
5134000120030431
64533554042330
7530133516045
oct120024222756
930650315780
1010742736366
114612aa391a
1220b98793a6
131022840a4b
1473ca6355c
1542d1c2ee6
hex2805125ee

10742736366 has 48 divisors (see below), whose sum is σ = 23740685280. Its totient is φ = 3509997120.

The previous prime is 10742736337. The next prime is 10742736377. The reversal of 10742736366 is 66363724701.

10742736366 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 7 + 3 + 636 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196800 + ... + 245388.

It is an arithmetic number, because the mean of its divisors is an integer number (494597610).

Almost surely, 210742736366 is an apocalyptic number.

10742736366 is an abundant number, since it is smaller than the sum of its proper divisors (12997948914).

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

10742736366 is a wasteful number, since it uses less digits than its factorization.

10742736366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48841 (or 48838 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 10742736366 in words is "ten billion, seven hundred forty-two million, seven hundred thirty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 71 142 173 213 346 426 519 639 1038 1278 1557 3114 12283 24566 36849 48589 73698 97178 110547 145767 221094 291534 437301 874602 3449819 6899638 8405897 10349457 16811794 20698914 25217691 31048371 50435382 62096742 75653073 151306146 596818687 1193637374 1790456061 3580912122 5371368183 10742736366