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49790710944 = 25321341324361
BaseRepresentation
bin101110010111110000…
…011111010010100000
311202112000000012000100
4232113300133102200
51303432410222234
634512403422400
73411601026402
oct562760372240
9152460005010
1049790710944
111a130616097
129796984a00
1349065b2650
1425a4a10b72
151466303399
hexb97c1f4a0

49790710944 has 144 divisors (see below), whose sum is σ = 156203657064. Its totient is φ = 14946508800.

The previous prime is 49790710883. The next prime is 49790710961. The reversal of 49790710944 is 44901709794.

49790710944 is a `hidden beast` number, since 497 + 9 + 0 + 7 + 109 + 44 = 666.

49790710944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24130515600 + 25660195344 = 155340^2 + 160188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×497907109442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8677 + ... + 315684.

Almost surely, 249790710944 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 49790710944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78101828532).

49790710944 is an abundant number, since it is smaller than the sum of its proper divisors (106412946120).

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

49790710944 is a wasteful number, since it uses less digits than its factorization.

49790710944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324431 (or 324420 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 49790710944 in words is "forty-nine billion, seven hundred ninety million, seven hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 72 78 82 96 104 117 123 144 156 164 208 234 246 288 312 328 369 416 468 492 533 624 656 738 936 984 1066 1248 1312 1476 1599 1872 1968 2132 2952 3198 3744 3936 4264 4797 5904 6396 8528 9594 11808 12792 17056 19188 25584 38376 51168 76752 153504 324361 648722 973083 1297444 1946166 2594888 2919249 3892332 4216693 5189776 5838498 7784664 8433386 10379552 11676996 12650079 13298801 15569328 16866772 23353992 25300158 26597602 31138656 33733544 37950237 39896403 46707984 50600316 53195204 67467088 75900474 79792806 93415968 101200632 106390408 119689209 134934176 151800948 159585612 172884413 202401264 212780816 239378418 303601896 319171224 345768826 404802528 425561632 478756836 518653239 607203792 638342448 691537652 957513672 1037306478 1214407584 1276684896 1383075304 1555959717 1915027344 2074612956 2766150608 3111919434 3830054688 4149225912 5532301216 6223838868 8298451824 12447677736 16596903648 24895355472 49790710944