Search a number
-
+
45334651087296 = 2632531485018707
BaseRepresentation
bin10100100111011010010111…
…10001100010100111000000
312221111221122210002210011100
422103231023301202213000
521420230331134243141
6240230241243014400
712356214626106414
oct1223551361424700
9187457583083140
1045334651087296
111349935473765a
1251021aab0a400
131c3b068318c7c
14b2a2cd006d44
155393d1c0b0b6
hex293b4bc629c0

45334651087296 has 84 divisors (see below), whose sum is σ = 132395357893032. Its totient is φ = 14826426760704.

The previous prime is 45334651087279. The next prime is 45334651087303. The reversal of 45334651087296 is 69278015643354.

45334651087296 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 46 + 510 + 8 + 72 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742478826 + ... + 742539881.

It is a 1-persistent number, because it is pandigital, but 2⋅45334651087296 = 90669302174592 is not.

Almost surely, 245334651087296 is an apocalyptic number.

It is an amenable number.

45334651087296 is an abundant number, since it is smaller than the sum of its proper divisors (87060706805736).

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

45334651087296 is a wasteful number, since it uses less digits than its factorization.

45334651087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485018778 (or 1485018765 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 45334651087296 in words is "forty-five trillion, three hundred thirty-four billion, six hundred fifty-one million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 1485018707 2970037414 4455056121 5940074828 8910112242 11880149656 13365168363 17820224484 23760299312 26730336726 35640448968 47520598624 53460673452 71280897936 78705991471 95041197248 106921346904 142561795872 157411982942 213842693808 236117974413 285123591744 314823965884 427685387616 472235948826 629647931768 708353923239 855370775232 944471897652 1259295863536 1416707846478 1888943795304 2518591727072 2833415692956 3777887590608 5037183454144 5666831385912 7555775181216 11333662771824 15111550362432 22667325543648 45334651087296