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213690124682320 = 245111389209878727
BaseRepresentation
bin110000100101100110011011…
…111110010100010001010000
31001000121120120012110212110011
4300211212123332110101100
5211002044333404313240
62034251515453044304
763003413332153126
oct6045463376242120
91030546505425404
10213690124682320
11620a7522547370
121bb726b2486694
139230b7a49cc90
143aaa92b5a5916
1519a888584d6ea
hexc2599bf94450

213690124682320 has 160 divisors (see below), whose sum is σ = 590246144328960. Its totient is φ = 70922219089920.

The previous prime is 213690124682317. The next prime is 213690124682327. The reversal of 213690124682320 is 23286421096312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213690124682327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103921204 + ... + 105957523.

It is an arithmetic number, because the mean of its divisors is an integer number (3689038402056).

Almost surely, 2213690124682320 is an apocalyptic number.

213690124682320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213690124682320 is an abundant number, since it is smaller than the sum of its proper divisors (376556019646640).

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

213690124682320 is a wasteful number, since it uses less digits than its factorization.

213690124682320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209878853 (or 209878847 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 213690124682320 in words is "two hundred thirteen trillion, six hundred ninety billion, one hundred twenty-four million, six hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 89 104 110 130 143 176 178 208 220 260 286 356 440 445 520 572 712 715 880 890 979 1040 1144 1157 1424 1430 1780 1958 2288 2314 2860 3560 3916 4628 4895 5720 5785 7120 7832 9256 9790 11440 11570 12727 15664 18512 19580 23140 25454 39160 46280 50908 63635 78320 92560 101816 127270 203632 254540 509080 1018160 209878727 419757454 839514908 1049393635 1679029816 2098787270 2308665997 2728423451 3358059632 4197574540 4617331994 5456846902 8395149080 9234663988 10913693804 11543329985 13642117255 16790298160 18469327976 18679206703 21827387608 23086659970 27284234510 30012657961 36938655952 37358413406 43654775216 46173319940 54568469020 60025315922 74716826812 92346639880 93396033515 109136938040 120050631844 149433653624 150063289805 184693279760 186792067030 205471273733 218273876080 240101263688 242829687139 298867307248 300126579610 373584134060 410942547466 480202527376 485659374278 600253159220 747168268120 821885094932 971318748556 1027356368665 1200506318440 1214148435695 1494336536240 1643770189864 1942637497112 2054712737330 2401012636880 2428296871390 2671126558529 3287540379728 3885274994224 4109425474660 4856593742780 5342253117058 8218850949320 9713187485560 10684506234116 13355632792645 16437701898640 19426374971120 21369012468232 26711265585290 42738024936464 53422531170580 106845062341160 213690124682320