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82161400871640 = 23353975911722067
BaseRepresentation
bin10010101011100110110001…
…000111001111101011011000
3101202220112221021220200012210
4102223212301013033223120
541232113022110343030
6450424232042235120
723206652051314446
oct2253466107175330
9352815837820183
1082161400871640
11241a74aa937742
12926b51aab5aa0
1336aca2c95861c
1416408c1015b96
1597731736bbb0
hex4ab9b11cfad8

82161400871640 has 64 divisors (see below), whose sum is σ = 246484965692160. Its totient is φ = 21909639070080.

The previous prime is 82161400871633. The next prime is 82161400871701. The reversal of 82161400871640 is 4617800416128.

It is a self number, because there is not a number n which added to its sum of digits gives 82161400871640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46849887 + ... + 48571953.

It is an arithmetic number, because the mean of its divisors is an integer number (3851327588940).

Almost surely, 282161400871640 is an apocalyptic number.

It is an amenable number.

82161400871640 is an abundant number, since it is smaller than the sum of its proper divisors (164323564820520).

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

82161400871640 is a wasteful number, since it uses less digits than its factorization.

82161400871640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119672 (or 2119668 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 82161400871640 in words is "eighty-two trillion, one hundred sixty-one billion, four hundred million, eight hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 397591 795182 1192773 1590364 1722067 1987955 2385546 3180728 3444134 3975910 4771092 5166201 5963865 6888268 7951820 8610335 9542184 10332402 11927730 13776536 15903640 17220670 20664804 23855460 25831005 34441340 41329608 47710920 51662010 68882680 103324020 206648040 684678340597 1369356681194 2054035021791 2738713362388 3423391702985 4108070043582 5477426724776 6846783405970 8216140087164 10270175108955 13693566811940 16432280174328 20540350217910 27387133623880 41080700435820 82161400871640