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45239954922 = 2351093492447
BaseRepresentation
bin101010001000100000…
…101110110111101010
311022202211221211100000
4222020200232313222
51220122412024142
632441041123430
73161042162211
oct521040566752
9138684854300
1045239954922
11182058587a8
128926929576
13435c8475c6
142292492078
15129ba3b14c
hexa8882edea

45239954922 has 96 divisors (see below), whose sum is σ = 102918816000. Its totient is φ = 14892735168.

The previous prime is 45239954909. The next prime is 45239954933. The reversal of 45239954922 is 22945993254.

45239954922 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 99 + 549 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18486703 + ... + 18489149.

It is an arithmetic number, because the mean of its divisors is an integer number (1072071000).

Almost surely, 245239954922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45239954922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51459408000).

45239954922 is an abundant number, since it is smaller than the sum of its proper divisors (57678861078).

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

45239954922 is a wasteful number, since it uses less digits than its factorization.

45239954922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2910 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 45239954922 in words is "forty-five billion, two hundred thirty-nine million, nine hundred fifty-four thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 243 327 349 486 654 698 981 1047 1962 2094 2447 2943 3141 4894 5886 6282 7341 8829 9423 14682 17658 18846 22023 26487 28269 38041 44046 52974 56538 66069 76082 84807 114123 132138 169614 198207 228246 266723 342369 396414 533446 594621 684738 800169 854003 1027107 1189242 1600338 1708006 2054214 2400507 2562009 3081321 4801014 5124018 6162642 7201521 7686027 9243963 14403042 15372054 18487926 21604563 23058081 43209126 46116162 64813689 69174243 93086327 129627378 138348486 186172654 207522729 279258981 415045458 558517962 837776943 1675553886 2513330829 5026661658 7539992487 15079984974 22619977461 45239954922