Search a number
-
+
516241978896 = 243710914095729
BaseRepresentation
bin1111000001100100110…
…10110111011000010000
31211100111210100201200110
413200302122313120100
531424230421311041
61033054105121320
752203646263450
oct7406232673020
91740453321613
10516241978896
11189a34158656
1284074489240
13398b2098787
141adb4383d60
15d6669c6516
hex78326b7610

516241978896 has 80 divisors (see below), whose sum is σ = 1538126057600. Its totient is φ = 146144507904.

The previous prime is 516241978883. The next prime is 516241978909. The reversal of 516241978896 is 698879142615.

It is an interprime number because it is at equal distance from previous prime (516241978883) and next prime (516241978909).

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, 7011241 + ... + 7084488.

It is an arithmetic number, because the mean of its divisors is an integer number (19226575720).

Almost surely, 2516241978896 is an apocalyptic number.

516241978896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

516241978896 is an abundant number, since it is smaller than the sum of its proper divisors (1021884078704).

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

516241978896 is a wasteful number, since it uses less digits than its factorization.

516241978896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14095856 (or 14095850 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 66.

The spelling of 516241978896 in words is "five hundred sixteen billion, two hundred forty-one million, nine hundred seventy-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 654 763 872 1308 1526 1744 2289 2616 3052 4578 5232 6104 9156 12208 18312 36624 14095729 28191458 42287187 56382916 84574374 98670103 112765832 169148748 197340206 225531664 296010309 338297496 394680412 592020618 676594992 789360824 1184041236 1536434461 1578721648 2368082472 3072868922 4609303383 4736164944 6145737844 9218606766 10755041227 12291475688 18437213532 21510082454 24582951376 32265123681 36874427064 43020164908 64530247362 73748854128 86040329816 129060494724 172080659632 258120989448 516241978896