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82000993312272 = 24311093574743093
BaseRepresentation
bin10010101001010001011000…
…000100111101111000010000
3101202100012220012210100212110
4102221101120010331320100
541222001013241443042
6450222423011425320
723162243025463506
oct2251213004757020
9352305805710773
1082000993312272
1124145475a66161
1292444128b5240
13369a878131718
141636c25330676
15973079c2609c
hex4a945813de10

82000993312272 has 80 divisors (see below), whose sum is σ = 212037766303680. Its totient is φ = 27307619652096.

The previous prime is 82000993312237. The next prime is 82000993312279. The reversal of 82000993312272 is 27221339900028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82000993312279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1902862758 + ... + 1902905850.

It is an arithmetic number, because the mean of its divisors is an integer number (2650472078796).

Almost surely, 282000993312272 is an apocalyptic number.

It is an amenable number.

82000993312272 is an abundant number, since it is smaller than the sum of its proper divisors (130036772991408).

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

82000993312272 is a wasteful number, since it uses less digits than its factorization.

82000993312272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79960 (or 79954 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 82000993312272 in words is "eighty-two trillion, nine hundred ninety-three million, three hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1109 2218 3327 4436 6654 8872 13308 17744 26616 35747 43093 53232 71494 86186 107241 129279 142988 172372 214482 258558 285976 344744 428964 517116 571952 689488 857928 1034232 1715856 2068464 39643423 47790137 79286846 95580274 118930269 143370411 158573692 191160548 237860538 286740822 317147384 382321096 475721076 573481644 634294768 764642192 951442152 1146963288 1540445471 1902884304 2293926576 3080890942 4621336413 6161781884 9242672826 12323563768 18485345652 24647127536 36970691304 73941382608 1708354027339 3416708054678 5125062082017 6833416109356 10250124164034 13666832218712 20500248328068 27333664437424 41000496656136 82000993312272