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94414465632 = 25317307188443
BaseRepresentation
bin101011111101110001…
…0100110101001100000
3100000200220110210112110
41113323202212221200
53021330100400012
6111212353355320
76551451500514
oct1277342465140
9300626423473
1094414465632
113704a5604a3
121636b268b40
138b9857b616
1447d9300144
1526c8bc173c
hex15fb8a6a60

94414465632 has 96 divisors (see below), whose sum is σ = 263272851072. Its totient is φ = 29523585024.

The previous prime is 94414465631. The next prime is 94414465637. The reversal of 94414465632 is 23656441449.

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

It is a super-2 number, since 2×944144656322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94414465631) 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 15 ways as a sum of consecutive naturals, for example, 406803 + ... + 595245.

It is an arithmetic number, because the mean of its divisors is an integer number (2742425532).

Almost surely, 294414465632 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 94414465632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131636425536).

94414465632 is an abundant number, since it is smaller than the sum of its proper divisors (168858385440).

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

94414465632 is a wasteful number, since it uses less digits than its factorization.

94414465632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188780 (or 188772 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 94414465632 in words is "ninety-four billion, four hundred fourteen million, four hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 307 408 544 614 816 921 1228 1632 1842 2456 3684 4912 5219 7368 9824 10438 14736 15657 20876 29472 31314 41752 62628 83504 125256 167008 188443 250512 376886 501024 565329 753772 1130658 1507544 2261316 3015088 3203531 4522632 6030176 6407062 9045264 9610593 12814124 18090528 19221186 25628248 38442372 51256496 57852001 76884744 102512992 115704002 153769488 173556003 231408004 307538976 347112006 462816008 694224012 925632016 983484017 1388448024 1851264032 1966968034 2776896048 2950452051 3933936068 5553792096 5900904102 7867872136 11801808204 15735744272 23603616408 31471488544 47207232816 94414465632