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5078920320 = 2734597973
BaseRepresentation
bin1001011101011101…
…00010110010000000
3111002221212212220000
410232232202302000
540400200422240
62155550520000
7236601052605
oct45656426200
914087785800
105078920320
112176a11011
12b98b06000
1362c3016c6
143627666ac
151ead45430
hex12eba2c80

5078920320 has 160 divisors (see below), whose sum is σ = 18137926620. Its totient is φ = 1354364928.

The previous prime is 5078920279. The next prime is 5078920321. The reversal of 5078920320 is 230298705.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4590333504 + 488586816 = 67752^2 + 22104^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5078920321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2854 + ... + 100826.

Almost surely, 25078920320 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 5078920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9068963310).

5078920320 is an abundant number, since it is smaller than the sum of its proper divisors (13059006300).

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

5078920320 is an equidigital number, since it uses as much as digits as its factorization.

5078920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98004 (or 97983 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5078920320 is about 71266.5441844909. The cubic root of 5078920320 is about 1718.9258120628.

The spelling of 5078920320 in words is "five billion, seventy-eight million, nine hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 97973 195946 293919 391892 489865 587838 783784 881757 979730 1175676 1469595 1567568 1763514 1959460 2351352 2645271 2939190 3135136 3527028 3918920 4408785 4702704 5290542 5878380 6270272 7054056 7837840 7935813 8817570 9405408 10581084 11756760 12540544 13226355 14108112 15675680 15871626 17635140 18810816 21162168 23513520 26452710 28216224 31351360 31743252 35270280 37621632 39679065 42324336 47027040 52905420 56432448 62702720 63486504 70540560 79358130 84648672 94054080 105810840 112864896 126973008 141081120 158716260 169297344 188108160 211621680 253946016 282162240 317432520 338594688 423243360 507892032 564324480 634865040 846486720 1015784064 1269730080 1692973440 2539460160 5078920320