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53509482768 = 24374310734613
BaseRepresentation
bin110001110101011010…
…011110100100010000
312010010011112100221010
4301311122132210100
51334041411422033
640325405530520
73603005045640
oct616532364420
9163104470833
1053509482768
1120769787435
12a454273a40
135079b79651
14283887a520
1515d2a26863
hexc7569e910

53509482768 has 160 divisors (see below), whose sum is σ = 163169842176. Its totient is φ = 14792891904.

The previous prime is 53509482743. The next prime is 53509482823. The reversal of 53509482768 is 86728490535.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528630 + ... + 1563242.

Almost surely, 253509482768 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 53509482768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81584921088).

53509482768 is an abundant number, since it is smaller than the sum of its proper divisors (109660359408).

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

53509482768 is a wasteful number, since it uses less digits than its factorization.

53509482768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34781 (or 34775 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 53509482768 in words is "fifty-three billion, five hundred nine million, four hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 107 112 129 168 172 214 258 301 321 336 344 428 516 602 642 688 749 856 903 1032 1204 1284 1498 1712 1806 2064 2247 2408 2568 2996 3612 4494 4601 4816 5136 5992 7224 8988 9202 11984 13803 14448 17976 18404 27606 32207 34613 35952 36808 55212 64414 69226 73616 96621 103839 110424 128828 138452 193242 207678 220848 242291 257656 276904 386484 415356 484582 515312 553808 726873 772968 830712 969164 1453746 1488359 1545936 1661424 1938328 2907492 2976718 3703591 3876656 4465077 5814984 5953436 7407182 8930154 10418513 11110773 11629968 11906872 14814364 17860308 20837026 22221546 23813744 25925137 29628728 31255539 35720616 41674052 44443092 51850274 59257456 62511078 71441232 77775411 83348104 88886184 103700548 125022156 155550822 159254413 166696208 177772368 207401096 250044312 311101644 318508826 414802192 477763239 500088624 622203288 637017652 955526478 1114780891 1244406576 1274035304 1911052956 2229561782 2548070608 3344342673 3822105912 4459123564 6688685346 7644211824 8918247128 13377370692 17836494256 26754741384 53509482768