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5006738080 = 255313472909
BaseRepresentation
bin1001010100110110…
…01100001010100000
3110220221001122110201
410222123030022200
540223211104310
62144451434544
7235033400011
oct45233141240
913827048421
105006738080
11213a19a473
12b788b5a54
1361a37a816
14356d37008
151e4837e3a
hex12a6cc2a0

5006738080 has 96 divisors (see below), whose sum is σ = 12249377280. Its totient is φ = 1931842560.

The previous prime is 5006738063. The next prime is 5006738123. The reversal of 5006738080 is 808376005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719666 + ... + 1722574.

It is an arithmetic number, because the mean of its divisors is an integer number (127597680).

Almost surely, 25006738080 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 5006738080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124688640).

5006738080 is an abundant number, since it is smaller than the sum of its proper divisors (7242639200).

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

5006738080 is a wasteful number, since it uses less digits than its factorization.

5006738080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 5006738080 is about 70758.3074981306. The cubic root of 5006738080 is about 1710.7437322017.

The spelling of 5006738080 in words is "five billion, six million, seven hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 347 496 620 694 992 1240 1388 1735 2480 2776 2909 3470 4960 5552 5818 6940 10757 11104 11636 13880 14545 21514 23272 27760 29090 43028 46544 53785 55520 58180 86056 90179 93088 107570 116360 172112 180358 215140 232720 344224 360716 430280 450895 465440 721432 860560 901790 1009423 1442864 1721120 1803580 2018846 2885728 3607160 4037692 5047115 7214320 8075384 10094230 14428640 16150768 20188460 31292113 32301536 40376920 62584226 80753840 125168452 156460565 161507680 250336904 312921130 500673808 625842260 1001347616 1251684520 2503369040 5006738080