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5076171720 = 2333531714827
BaseRepresentation
bin1001011101001000…
…00011101111001000
3111002202201020112000
410232210003233020
540343444443340
62155411551000
7236535514314
oct45644035710
914082636460
105076171720
112175403a44
12b97bbb460
1362b87b609
1436224cb44
151ea9a0d30
hex12e903bc8

5076171720 has 128 divisors (see below), whose sum is σ = 16975094400. Its totient is φ = 1349284608.

The previous prime is 5076171701. The next prime is 5076171733. The reversal of 5076171720 is 271716705.

5076171720 is a `hidden beast` number, since 5 + 0 + 7 + 617 + 17 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334947 + ... + 349773.

It is an arithmetic number, because the mean of its divisors is an integer number (132617925).

Almost surely, 25076171720 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 5076171720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487547200).

5076171720 is an abundant number, since it is smaller than the sum of its proper divisors (11898922680).

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

5076171720 is a wasteful number, since it uses less digits than its factorization.

5076171720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15164 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 5076171720 is about 71247.2576314345. The cubic root of 5076171720 is about 1718.6156744919.

It can be divided in two parts, 5076171 and 720, that added together give a triangular number (5076891 = T3186).

The spelling of 5076171720 in words is "five billion, seventy-six million, one hundred seventy-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 317 360 540 634 951 1080 1268 1585 1902 2536 2853 3170 3804 4755 5706 6340 7608 8559 9510 11412 12680 14265 14827 17118 19020 22824 28530 29654 34236 38040 42795 44481 57060 59308 68472 74135 85590 88962 114120 118616 133443 148270 171180 177924 222405 266886 296540 342360 355848 400329 444810 533772 593080 667215 800658 889620 1067544 1334430 1601316 1779240 2001645 2668860 3202632 4003290 4700159 5337720 8006580 9400318 14100477 16013160 18800636 23500795 28200954 37601272 42301431 47001590 56401908 70502385 84602862 94003180 112803816 126904293 141004770 169205724 188006360 211507155 253808586 282009540 338411448 423014310 507617172 564019080 634521465 846028620 1015234344 1269042930 1692057240 2538085860 5076171720