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5001654320 = 2451317793581
BaseRepresentation
bin1001010100001111…
…10011000000110000
3110220120111100212022
410222013303000300
540220410414240
62144150451012
7234642234365
oct45207630060
913816440768
105001654320
112137337a13
12b77063a68
136192ba890
143563b246c
151e41819b5
hex12a1f3030

5001654320 has 160 divisors (see below), whose sum is σ = 13431640320. Its totient is φ = 1715650560.

The previous prime is 5001654299. The next prime is 5001654379. The reversal of 5001654320 is 234561005.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5001654320.

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 31 ways as a sum of consecutive naturals, for example, 1394930 + ... + 1398510.

It is an arithmetic number, because the mean of its divisors is an integer number (83947752).

Almost surely, 25001654320 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 5001654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715820160).

5001654320 is an abundant number, since it is smaller than the sum of its proper divisors (8429986000).

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

5001654320 is a wasteful number, since it uses less digits than its factorization.

5001654320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5001654320 is about 70722.3749601214. The cubic root of 5001654320 is about 1710.1645157085.

The spelling of 5001654320 in words is "five billion, one million, six hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 79 80 85 104 130 136 158 170 208 221 260 272 316 340 395 442 520 632 680 790 884 1027 1040 1105 1264 1343 1360 1580 1768 2054 2210 2686 3160 3536 3581 4108 4420 5135 5372 6320 6715 7162 8216 8840 10270 10744 13430 14324 16432 17459 17680 17905 20540 21488 26860 28648 34918 35810 41080 46553 53720 57296 60877 69836 71620 82160 87295 93106 107440 121754 139672 143240 174590 186212 232765 243508 279344 282899 286480 304385 349180 372424 465530 487016 565798 608770 698360 744848 791401 931060 974032 1131596 1217540 1396720 1414495 1582802 1862120 2263192 2435080 2828990 3165604 3677687 3724240 3957005 4526384 4809283 4870160 5657980 6331208 7355374 7914010 9618566 11315960 12662416 14710748 15828020 18388435 19237132 22631920 24046415 29421496 31656040 36776870 38474264 48092830 58842992 62520679 63312080 73553740 76948528 96185660 125041358 147107480 192371320 250082716 294214960 312603395 384742640 500165432 625206790 1000330864 1250413580 2500827160 5001654320