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45883842144 = 2537643106189
BaseRepresentation
bin101010101110111000…
…111101111001100000
311101102201112200112220
4222232320331321200
51222432230422034
633025001551040
73213021136350
oct525670757140
9141381480486
1045883842144
11185062617a8
128a864a5480
13443306b16a
142313bc0b60
1512d8327749
hexaaee3de60

45883842144 has 96 divisors (see below), whose sum is σ = 137866901760. Its totient is φ = 13089157632.

The previous prime is 45883842119. The next prime is 45883842149. The reversal of 45883842144 is 44124838854.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45883842149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379002 + ... + 485190.

It is an arithmetic number, because the mean of its divisors is an integer number (1436113560).

Almost surely, 245883842144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45883842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68933450880).

45883842144 is an abundant number, since it is smaller than the sum of its proper divisors (91983059616).

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

45883842144 is a wasteful number, since it uses less digits than its factorization.

45883842144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106852 (or 106844 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 51.

The spelling of 45883842144 in words is "forty-five billion, eight hundred eighty-three million, eight hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 643 672 1286 1929 2572 3858 4501 5144 7716 9002 10288 13503 15432 18004 20576 27006 30864 36008 54012 61728 72016 106189 108024 144032 212378 216048 318567 424756 432096 637134 743323 849512 1274268 1486646 1699024 2229969 2548536 2973292 3398048 4459938 5097072 5946584 8919876 10194144 11893168 17839752 23786336 35679504 68279527 71359008 136559054 204838581 273118108 409677162 477956689 546236216 819354324 955913378 1092472432 1433870067 1638708648 1911826756 2184944864 2867740134 3277417296 3823653512 5735480268 6554834592 7647307024 11470960536 15294614048 22941921072 45883842144