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45794994048 = 2732127931081
BaseRepresentation
bin101010101001100110…
…000010011110000000
311101012112100201212200
4222221212002132000
51222242004302143
633012105353200
73210562012116
oct525146023600
9141175321780
1045794994048
1118470097921
128a60798800
13441a83061b
142306093ab6
1512d06271d3
hexaa9982780

45794994048 has 96 divisors (see below), whose sum is σ = 131887142400. Its totient is φ = 15252572160.

The previous prime is 45794994041. The next prime is 45794994067. The reversal of 45794994048 is 84049949754.

45794994048 is a `hidden beast` number, since 4 + 57 + 94 + 99 + 404 + 8 = 666.

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 (45794994041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1457868 + ... + 1488948.

It is an arithmetic number, because the mean of its divisors is an integer number (1373824400).

Almost surely, 245794994048 is an apocalyptic number.

45794994048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45794994048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65943571200).

45794994048 is an abundant number, since it is smaller than the sum of its proper divisors (86092148352).

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

45794994048 is a wasteful number, since it uses less digits than its factorization.

45794994048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32380 (or 32365 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 45794994048 in words is "forty-five billion, seven hundred ninety-four million, nine hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1279 2558 3837 5116 7674 10232 11511 15348 20464 23022 30696 31081 40928 46044 61392 62162 81856 92088 93243 122784 124324 163712 184176 186486 245568 248648 279729 368352 372972 491136 497296 559458 736704 745944 994592 1118916 1473408 1491888 1989184 2237832 2983776 3978368 4475664 5967552 8951328 11935104 17902656 35805312 39752599 79505198 119257797 159010396 238515594 318020792 357773391 477031188 636041584 715546782 954062376 1272083168 1431093564 1908124752 2544166336 2862187128 3816249504 5088332672 5724374256 7632499008 11448748512 15264998016 22897497024 45794994048