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45423894054 = 23731119105607
BaseRepresentation
bin101010010011011110…
…011001111000100110
311100020200001220101110
4222103132121320212
51221012004102204
632511211405450
73165434505000
oct522336317046
9140220056343
1045423894054
111829a670a10
128978453886
13438b99a426
1422aca93370
1512acc71889
hexa93799e26

45423894054 has 128 divisors (see below), whose sum is σ = 121660416000. Its totient is φ = 11177339040.

The previous prime is 45423894049. The next prime is 45423894059. The reversal of 45423894054 is 45049832454.

It is an interprime number because it is at equal distance from previous prime (45423894049) and next prime (45423894059).

It is a junction number, because it is equal to n+sod(n) for n = 45423893994 and 45423894012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45423894059) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 377319 + ... + 482925.

It is an arithmetic number, because the mean of its divisors is an integer number (950472000).

Almost surely, 245423894054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45423894054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60830208000).

45423894054 is an abundant number, since it is smaller than the sum of its proper divisors (76236521946).

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

45423894054 is a wasteful number, since it uses less digits than its factorization.

45423894054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105663 (or 105649 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 45423894054 in words is "forty-five billion, four hundred twenty-three million, eight hundred ninety-four thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 343 399 418 462 539 627 686 798 931 1029 1078 1254 1463 1617 1862 2058 2793 2926 3234 3773 4389 5586 6517 7546 8778 10241 11319 13034 19551 20482 22638 30723 39102 61446 71687 105607 143374 211214 215061 316821 430122 633642 739249 1161677 1478498 2006533 2217747 2323354 3485031 4013066 4435494 5174743 6019599 6970062 8131739 10349486 12039198 14045731 15524229 16263478 22071863 24395217 28091462 31048458 36223201 42137193 44143726 48790434 56922173 66215589 72446402 84274386 98320117 108669603 113844346 132431178 154503041 170766519 196640234 217339206 294960351 309006082 341533038 398455211 463509123 589920702 688240819 796910422 927018246 1081521287 1195365633 1376481638 2064722457 2163042574 2390731266 3244563861 4129444914 6489127722 7570649009 15141298018 22711947027 45423894054