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82789601120 = 255717287817
BaseRepresentation
bin100110100011010100…
…1010000111101100000
321220200202020111022222
41031012221100331200
52324023114213440
6102011044250212
75660413666322
oct1150651207540
9256622214288
1082789601120
1132124631756
12140660a0968
137a65060a75
144015453612
1522483522b5
hex1346a50f60

82789601120 has 48 divisors (see below), whose sum is σ = 198345254688. Its totient is φ = 32649415680.

The previous prime is 82789601107. The next prime is 82789601137. The reversal of 82789601120 is 2110698728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3632549 + ... + 3655268.

It is an arithmetic number, because the mean of its divisors is an integer number (4132192806).

Almost surely, 282789601120 is an apocalyptic number.

82789601120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82789601120 is an abundant number, since it is smaller than the sum of its proper divisors (115555653568).

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

82789601120 is a wasteful number, since it uses less digits than its factorization.

82789601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287903 (or 7287895 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 82789601120 in words is "eighty-two billion, seven hundred eighty-nine million, six hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 11360 7287817 14575634 29151268 36439085 58302536 72878170 116605072 145756340 233210144 291512680 517435007 583025360 1034870014 1166050720 2069740028 2587175035 4139480056 5174350070 8278960112 10348700140 16557920224 20697400280 41394800560 82789601120