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50086601568 = 25322927122129
BaseRepresentation
bin101110101001011001…
…001110001101100000
311210021121202222122100
4232221121032031200
51310034132222233
635002013410400
73422123042313
oct565131161540
9153247688570
1050086601568
111a2726430a3
129859a99a00
1349529a1b63
1425d203497a
15148229e813
hexba964e360

50086601568 has 144 divisors (see below), whose sum is σ = 147895675200. Its totient is φ = 16059617280.

The previous prime is 50086601563. The next prime is 50086601581. The reversal of 50086601568 is 86510668005.

50086601568 is a `hidden beast` number, since 5 + 0 + 0 + 86 + 6 + 0 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50086601561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2252328 + ... + 2274456.

It is an arithmetic number, because the mean of its divisors is an integer number (1027053300).

Almost surely, 250086601568 is an apocalyptic number.

50086601568 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50086601568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73947837600).

50086601568 is an abundant number, since it is smaller than the sum of its proper divisors (97809073632).

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

50086601568 is a wasteful number, since it uses less digits than its factorization.

50086601568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22445 (or 22434 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 50086601568 in words is "fifty billion, eighty-six million, six hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 271 288 348 464 522 542 696 813 928 1044 1084 1392 1626 2088 2168 2439 2784 3252 4176 4336 4878 6504 7859 8352 8672 9756 13008 15718 19512 22129 23577 26016 31436 39024 44258 47154 62872 66387 70731 78048 88516 94308 125744 132774 141462 177032 188616 199161 251488 265548 282924 354064 377232 398322 531096 565848 641741 708128 754464 796644 1062192 1131696 1283482 1593288 1925223 2124384 2263392 2566964 3186576 3850446 5133928 5775669 5996959 6373152 7700892 10267856 11551338 11993918 15401784 17990877 20535712 23102676 23987836 30803568 35981754 46205352 47975672 53972631 61607136 71963508 92410704 95951344 107945262 143927016 173911811 184821408 191902688 215890524 287854032 347823622 431781048 521735433 575708064 695647244 863562096 1043470866 1391294488 1565206299 1727124192 2086941732 2782588976 3130412598 4173883464 5565177952 6260825196 8347766928 12521650392 16695533856 25043300784 50086601568