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5002614960 = 243577937693
BaseRepresentation
bin1001010100010110…
…11101100010110000
3110220122022011121120
410222023131202300
540221132134320
62144223222240
7234653345160
oct45213354260
913818264546
105002614960
112137933732
12b77447980
13619565bc5
143565825a0
151e42c1440
hex12a2dd8b0

5002614960 has 160 divisors (see below), whose sum is σ = 17948375040. Its totient is φ = 1128950784.

The previous prime is 5002614923. The next prime is 5002614961. The reversal of 5002614960 is 694162005.

It is not an unprimeable number, because it can be changed into a prime (5002614961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113874 + ... + 151566.

It is an arithmetic number, because the mean of its divisors is an integer number (112177344).

Almost surely, 25002614960 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 5002614960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8974187520).

5002614960 is an abundant number, since it is smaller than the sum of its proper divisors (12945760080).

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

5002614960 is a wasteful number, since it uses less digits than its factorization.

5002614960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37795 (or 37789 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5002614960 is about 70729.1662611684. The cubic root of 5002614960 is about 1710.2739959704.

Adding to 5002614960 its reverse (694162005), we get a palindrome (5696776965).

The spelling of 5002614960 in words is "five billion, two million, six hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 79 80 84 105 112 120 140 158 168 210 237 240 280 316 336 395 420 474 553 560 632 790 840 948 1106 1185 1264 1580 1659 1680 1896 2212 2370 2765 3160 3318 3792 4424 4740 5530 6320 6636 8295 8848 9480 11060 13272 16590 18960 22120 26544 33180 37693 44240 66360 75386 113079 132720 150772 188465 226158 263851 301544 376930 452316 527702 565395 603088 753860 791553 904632 1055404 1130790 1319255 1507720 1583106 1809264 2110808 2261580 2638510 2977747 3015440 3166212 3957765 4221616 4523160 5277020 5955494 6332424 7915530 8933241 9046320 10554040 11910988 12664848 14888735 15831060 17866482 20844229 21108080 23821976 29777470 31662120 35732964 41688458 44666205 47643952 59554940 62532687 63324240 71465928 83376916 89332410 104221145 119109880 125065374 142931856 166753832 178664820 208442290 238219760 250130748 312663435 333507664 357329640 416884580 500261496 625326870 714659280 833769160 1000522992 1250653740 1667538320 2501307480 5002614960