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82074257362392 = 23335971991114543
BaseRepresentation
bin10010101010010101100110…
…111101001000110111011000
3101202121020000010000201202020
4102222111212331020313120
541224201034341044032
6450320220542334440
723200445415566331
oct2252254675106730
9352536003021666
1082074257362392
1124173551678409
12925665a88a420
1336a4752882179
14163a5b5645288
15974e16b87b2c
hex4aa566f48dd8

82074257362392 has 128 divisors (see below), whose sum is σ = 206283718656000. Its totient is φ = 27212158413440.

The previous prime is 82074257362381. The next prime is 82074257362397. The reversal of 82074257362392 is 29326375247028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82074257362397) 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, 5643550273 + ... + 5643564815.

It is an arithmetic number, because the mean of its divisors is an integer number (1611591552000).

Almost surely, 282074257362392 is an apocalyptic number.

It is an amenable number.

82074257362392 is an abundant number, since it is smaller than the sum of its proper divisors (124209461293608).

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

82074257362392 is a wasteful number, since it uses less digits than its factorization.

82074257362392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16541 (or 16537 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 82074257362392 in words is "eighty-two trillion, seventy-four billion, two hundred fifty-seven million, three hundred sixty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 359 718 719 911 1077 1436 1438 1822 2154 2157 2733 2872 2876 3644 4308 4314 5466 5752 7288 8616 8628 10932 14543 17256 21864 29086 43629 58172 87258 116344 174516 258121 327049 349032 516242 654098 655009 774363 981147 1032484 1308196 1310018 1548726 1962294 1965027 2064968 2616392 2620036 3097452 3924588 3930054 5220937 5240072 6194904 7849176 7860108 10441874 10456417 13248673 15662811 15720216 20883748 20912834 26497346 31325622 31369251 39746019 41767496 41825668 52994692 62651244 62738502 79492038 83651336 105989384 125302488 125477004 158984076 235148231 250954008 317968152 470296462 705444693 940592924 1410889386 1881185848 2821778772 3753853703 4756273607 5643557544 7507707406 9512547214 9525795887 11261561109 14268820821 15015414812 19025094428 19051591774 22523122218 28537641642 28577387661 30030829624 38050188856 38103183548 45046244436 57075283284 57154775322 76206367096 90092488872 114150566568 114309550644 228619101288 3419760723433 6839521446866 10259282170299 13679042893732 20518564340598 27358085787464 41037128681196 82074257362392