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44688349920 = 2535106387583
BaseRepresentation
bin101001100111101000…
…100001101011100000
311021100102000101112010
4221213220201223200
51213010204144140
632310214232520
73141263464314
oct514750415340
9137312011463
1044688349920
1117a524547a5
1287b2055740
1342a2494706
14223d105b44
1512683cc880
hexa67a21ae0

44688349920 has 96 divisors (see below), whose sum is σ = 140902336512. Its totient is φ = 11905546752.

The previous prime is 44688349913. The next prime is 44688349933. The reversal of 44688349920 is 2994388644.

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

It is a congruent number.

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, 466449 + ... + 554031.

It is an arithmetic number, because the mean of its divisors is an integer number (1467732672).

Almost surely, 244688349920 is an apocalyptic number.

44688349920 is a gapful number since it is divisible by the number (40) 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 44688349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70451168256).

44688349920 is an abundant number, since it is smaller than the sum of its proper divisors (96213986592).

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

44688349920 is a wasteful number, since it uses less digits than its factorization.

44688349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88664 (or 88656 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 44688349920 in words is "forty-four billion, six hundred eighty-eight million, three hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1063 2126 3189 4252 5315 6378 8504 10630 12756 15945 17008 21260 25512 31890 34016 42520 51024 63780 85040 87583 102048 127560 170080 175166 255120 262749 350332 437915 510240 525498 700664 875830 1050996 1313745 1401328 1751660 2101992 2627490 2802656 3503320 4203984 5254980 7006640 8407968 10509960 14013280 21019920 42039840 93100729 186201458 279302187 372402916 465503645 558604374 744805832 931007290 1117208748 1396510935 1489611664 1862014580 2234417496 2793021870 2979223328 3724029160 4468834992 5586043740 7448058320 8937669984 11172087480 14896116640 22344174960 44688349920