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82384033001112 = 233219015387111733
BaseRepresentation
bin10010101110110110000111…
…000001011010111010011000
3101210200211120220112122210200
4102232312013001122322120
541244234444422013422
6451114411405342200
723232023065224303
oct2256660701327230
9353624526478720
1082384033001112
1124282965977777
1292a66b1b67960
1336c7a1ca6468b
14164b5a0bc5b3a
1597cee76872ac
hex4aed8705ae98

82384033001112 has 96 divisors (see below), whose sum is σ = 223284233324880. Its totient is φ = 27441557971200.

The previous prime is 82384033001087. The next prime is 82384033001141. The reversal of 82384033001112 is 21110033048328.

82384033001112 is a `hidden beast` number, since 8 + 238 + 4 + 0 + 3 + 300 + 1 + 112 = 666.

It is a super-2 number, since 2×823840330011122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737273598 + ... + 737385330.

Almost surely, 282384033001112 is an apocalyptic number.

It is an amenable number.

82384033001112 is an abundant number, since it is smaller than the sum of its proper divisors (140900200323768).

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

82384033001112 is a wasteful number, since it uses less digits than its factorization.

82384033001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119033 (or 119026 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 82384033001112 in words is "eighty-two trillion, three hundred eighty-four billion, thirty-three million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1901 3802 5387 5703 7604 10774 11406 15208 16161 17109 21548 22812 32322 34218 43096 45624 48483 64644 68436 96966 111733 129288 136872 193932 223466 335199 387864 446932 670398 893864 1005597 1340796 2011194 2681592 4022388 8044776 10240687 20481374 30722061 40962748 61444122 81925496 92166183 122888244 184332366 212404433 245776488 368664732 424808866 601905671 637213299 737329464 849617732 1203811342 1274426598 1699235464 1805717013 1911639897 2407622684 2548853196 3611434026 3823279794 4815245368 5097706392 5417151039 7222868052 7646559588 10834302078 14445736104 15293119176 21668604156 43337208312 1144222680571 2288445361142 3432668041713 4576890722284 6865336083426 9153781444568 10298004125139 13730672166852 20596008250278 27461344333704 41192016500556 82384033001112