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82380641035640 = 235172414391145077
BaseRepresentation
bin10010101110110010111100…
…110110000110010101111000
3101210200111211111221221220212
4102232302330312012111320
541244211023101120030
6451113051040010252
723231543040052163
oct2256627466062570
9353614744857825
1082380641035640
1124281485229922
1292a5b06000988
1336c75cc0c290c
14164b35c50aada
1597cd999ba595
hex4aecbcd86578

82380641035640 has 128 divisors (see below), whose sum is σ = 197523206812800. Its totient is φ = 30814819614720.

The previous prime is 82380641035631. The next prime is 82380641035687. The reversal of 82380641035640 is 4653014608328.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71370782 + ... + 72515858.

It is an arithmetic number, because the mean of its divisors is an integer number (1543150053225).

Almost surely, 282380641035640 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 82380641035640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98761603406400).

82380641035640 is an abundant number, since it is smaller than the sum of its proper divisors (115142565777160).

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

82380641035640 is a wasteful number, since it uses less digits than its factorization.

82380641035640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145785 (or 1145781 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 82380641035640 in words is "eighty-two trillion, three hundred eighty billion, six hundred forty-one million, thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 241 340 439 482 680 878 964 1205 1756 1928 2195 2410 3512 4097 4390 4820 7463 8194 8780 9640 14926 16388 17560 20485 29852 32776 37315 40970 59704 74630 81940 105799 149260 163880 211598 298520 423196 528995 846392 1057990 1145077 1798583 2115980 2290154 3597166 4231960 4580308 5725385 7194332 8992915 9160616 11450770 14388664 17985830 19466309 22901540 35971660 38932618 45803080 71943320 77865236 97331545 155730472 194663090 275963557 389326180 502688803 551927114 778652360 1005377606 1103854228 1379817785 2010755212 2207708456 2513444015 2759635570 4021510424 4691380469 5026888030 5519271140 8545709651 9382760938 10053776060 11038542280 17091419302 18765521876 20107552120 23456902345 34182838604 37531043752 42728548255 46913804690 68365677208 85457096510 93827609380 121148001523 170914193020 187655218760 242296003046 341828386040 484592006092 605740007615 969184012184 1211480015230 2059516025891 2422960030460 4119032051782 4845920060920 8238064103564 10297580129455 16476128207128 20595160258910 41190320517820 82380641035640