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44869609632 = 25319314511669
BaseRepresentation
bin101001110010011011…
…111110100010100000
311021211001002100002210
4221302123332202200
51213343110002012
632340211242120
73145624250301
oct516233764240
9137731070083
1044869609632
11180357a7911
1288428a9340
134300bb9a93
14225920a7a8
15127928423c
hexa726fe8a0

44869609632 has 96 divisors (see below), whose sum is σ = 118545577920. Its totient is φ = 14859878400.

The previous prime is 44869609627. The next prime is 44869609669. The reversal of 44869609632 is 23690696844.

It is a happy number.

44869609632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26883294 + ... + 26884962.

It is an arithmetic number, because the mean of its divisors is an integer number (1234849770).

Almost surely, 244869609632 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 44869609632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59272788960).

44869609632 is an abundant number, since it is smaller than the sum of its proper divisors (73675968288).

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

44869609632 is a wasteful number, since it uses less digits than its factorization.

44869609632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 44869609632 in words is "forty-four billion, eight hundred sixty-nine million, six hundred nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1451 1544 1669 2316 2902 3088 3338 4353 4632 5007 5804 6176 6676 8706 9264 10014 11608 13352 17412 18528 20028 23216 26704 34824 40056 46432 53408 69648 80112 139296 160224 280043 322117 560086 644234 840129 966351 1120172 1288468 1680258 1932702 2240344 2421719 2576936 3360516 3865404 4480688 4843438 5153872 6721032 7265157 7730808 8961376 9686876 10307744 13442064 14530314 15461616 19373752 26884128 29060628 30923232 38747504 58121256 77495008 116242512 232485024 467391767 934783534 1402175301 1869567068 2804350602 3739134136 5608701204 7478268272 11217402408 14956536544 22434804816 44869609632