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91513724666416 = 241323167703916273
BaseRepresentation
bin10100110011101100110011…
…000011010000001000110000
3110000000121220211002201002021
4110303230303003100020300
543443330102003311131
6522344454050401224
725163435260035133
oct2463546303201060
9400017824081067
1091513724666416
11271828308a8568
12a31bb81290214
133c0a926970510
14188540603421a
15a8a736abde11
hex533b330d0230

91513724666416 has 160 divisors (see below), whose sum is σ = 200482848276480. Its totient is φ = 40150614822912.

The previous prime is 91513724666407. The next prime is 91513724666443. The reversal of 91513724666416 is 61466642731519.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5623646056 + ... + 5623662328.

It is an arithmetic number, because the mean of its divisors is an integer number (1253017801728).

Almost surely, 291513724666416 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 91513724666416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100241424138240).

91513724666416 is an abundant number, since it is smaller than the sum of its proper divisors (108969123610064).

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

91513724666416 is a wasteful number, since it uses less digits than its factorization.

91513724666416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23523 (or 23517 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 61.

The spelling of 91513724666416 in words is "ninety-one trillion, five hundred thirteen billion, seven hundred twenty-four million, six hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 167 184 208 299 334 368 598 668 1196 1336 2171 2392 2672 3841 4342 4784 7039 7682 8684 14078 15364 16273 17368 28156 30728 32546 34736 49933 56312 61456 65092 91507 99866 112624 130184 161897 183014 199732 211549 260368 323794 366028 374279 399464 423098 647588 732056 748558 798928 846196 1175513 1295176 1464112 1497116 1692392 2104661 2351026 2590352 2717591 2994232 3384784 4209322 4702052 4865627 5435182 5988464 8418644 9404104 9731254 10870364 15281669 16837288 18808208 19462508 21740728 27036799 30563338 33674576 35328683 38925016 43481456 54073598 61126676 62504593 70657366 77850032 108147196 114545647 122253352 125009186 141314732 216294392 229091294 244506704 250018372 282629464 351478387 432588784 458182588 500036744 565258928 702956774 812559709 916365176 1000073488 1405913548 1489093411 1625119418 1832730352 2634549881 2811827096 2978186822 3250238836 5269099762 5623654192 5956373644 6500477672 10538199524 11912747288 13000955344 19129123049 21076399048 23825494576 34249148453 38258246098 42152798096 68498296906 76516492196 136996593812 153032984392 248678599637 273993187624 306065968784 439969830127 497357199274 547986375248 879939660254 994714398548 1759879320508 1989428797096 3519758641016 3978857594192 5719607791651 7039517282032 11439215583302 22878431166604 45756862333208 91513724666416