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5130814720 = 285191131867
BaseRepresentation
bin1001100011101001…
…00000010100000000
3111020120112101121211
410301310200110000
541001442032340
62205043055504
7241101130333
oct46164402400
914216471554
105130814720
1121a3236049
12bb2371594
13639ca1155
143695d461a
152006965ea
hex131d20500

5130814720 has 144 divisors (see below), whose sum is σ = 13058216640. Its totient is φ = 1926070272.

The previous prime is 5130814697. The next prime is 5130814747. The reversal of 5130814720 is 274180315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2747227 + ... + 2749093.

It is an arithmetic number, because the mean of its divisors is an integer number (90682060).

Almost surely, 25130814720 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 5130814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529108320).

5130814720 is an abundant number, since it is smaller than the sum of its proper divisors (7927401920).

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

5130814720 is a wasteful number, since it uses less digits than its factorization.

5130814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 5130814720 is about 71629.7055696867. The cubic root of 5130814720 is about 1724.7604198531.

The spelling of 5130814720 in words is "five billion, one hundred thirty million, eight hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 113 128 152 160 190 226 256 304 320 380 452 565 608 640 760 904 1130 1216 1280 1520 1808 1867 2147 2260 2432 3040 3616 3734 4294 4520 4864 6080 7232 7468 8588 9040 9335 10735 12160 14464 14936 17176 18080 18670 21470 24320 28928 29872 34352 35473 36160 37340 42940 59744 68704 70946 72320 74680 85880 119488 137408 141892 144640 149360 171760 177365 210971 238976 274816 283784 298720 343520 354730 421942 477952 549632 567568 597440 687040 709460 843884 1054855 1135136 1194880 1374080 1418920 1687768 2109710 2270272 2389760 2748160 2837840 3375536 4008449 4219420 4540544 5675680 6751072 8016898 8438840 9081088 11351360 13502144 16033796 16877680 20042245 22702720 27004288 32067592 33755360 40084490 45405440 54008576 64135184 67510720 80168980 128270368 135021440 160337960 256540736 270042880 320675920 513081472 641351840 1026162944 1282703680 2565407360 5130814720