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45832920042 = 23713233649699
BaseRepresentation
bin101010101011110110…
…101101101111101010
311101022011201120120010
4222223312231233222
51222331211420132
633015542312350
73211532251410
oct525366555752
9141264646503
1045832920042
111848a541218
128a714286b6
13442564c140
14230b1272b0
1512d3b196cc
hexaabdadbea

45832920042 has 64 divisors (see below), whose sum is σ = 117724723200. Its totient is φ = 11562243264.

The previous prime is 45832919999. The next prime is 45832920043. The reversal of 45832920042 is 24002923854.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45832920043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1812292 + ... + 1837407.

It is an arithmetic number, because the mean of its divisors is an integer number (1839448800).

Almost surely, 245832920042 is an apocalyptic number.

45832920042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

45832920042 is an abundant number, since it is smaller than the sum of its proper divisors (71891803158).

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

45832920042 is a wasteful number, since it uses less digits than its factorization.

45832920042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649747.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 45832920042 in words is "forty-five billion, eight hundred thirty-two million, nine hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1794 2093 4186 6279 12558 3649699 7299398 10949097 21898194 25547893 47446087 51095786 76643679 83943077 94892174 142338261 153287358 167886154 251829231 284676522 332122609 503658462 587601539 664245218 996367827 1091260001 1175203078 1762804617 1992735654 2182520002 3273780003 3525609234 6547560006 7638820007 15277640014 22916460021 45832920042