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40759511768082 = 23319894211060253
BaseRepresentation
bin10010100010010000100000…
…01110000101110000010010
312100022120102110022110112000
421101020100032011300102
520320300440003034312
6222404354453214430
711404530461413212
oct1121102016056022
9170276373273460
1040759511768082
1111a95014881978
1246a3572031416
1319987b429a053
14a0cab14a2242
154aa3ad735adc
hex251210385c12

40759511768082 has 128 divisors (see below), whose sum is σ = 96644272608000. Its totient is φ = 12696560110080.

The previous prime is 40759511768069. The next prime is 40759511768093. The reversal of 40759511768082 is 28086711595704.

40759511768082 is a `hidden beast` number, since 4 + 0 + 7 + 59 + 511 + 7 + 68 + 0 + 8 + 2 = 666.

It is a super-2 number, since 2×407595117680822 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37913068 + ... + 38973320.

It is an arithmetic number, because the mean of its divisors is an integer number (755033379750).

Almost surely, 240759511768082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40759511768082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48322136304000).

40759511768082 is an abundant number, since it is smaller than the sum of its proper divisors (55884760839918).

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

40759511768082 is a wasteful number, since it uses less digits than its factorization.

40759511768082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060793 (or 1060787 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 40759511768082 in words is "forty trillion, seven hundred fifty-nine billion, five hundred eleven million, seven hundred sixty-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 89 114 171 178 267 342 421 513 534 801 842 1026 1263 1602 1691 2403 2526 3382 3789 4806 5073 7578 7999 10146 11367 15219 15998 22734 23997 30438 37469 45657 47994 71991 74938 91314 112407 143982 215973 224814 337221 431946 674442 711911 1011663 1060253 1423822 2023326 2120506 2135733 3180759 4271466 6361518 6407199 9542277 12814398 19084554 19221597 20144807 28626831 38443194 40289614 57253662 60434421 94362517 120868842 181303263 188725034 283087551 362606526 446366513 543909789 566175102 849262653 892733026 1087819578 1339099539 1698525306 1792887823 2547787959 2678199078 3585775646 4017298617 5095575918 5378663469 8034597234 8480963747 10757326938 12051895851 16135990407 16961927494 24103791702 25442891241 32271980814 39726619657 48407971221 50885782482 76328673723 79453239314 96815942442 119179858971 152657347446 228986021169 238359717942 357539576913 457972042338 715079153826 754805773483 1072618730739 1509611546966 2145237461478 2264417320449 4528834640898 6793251961347 13586503922694 20379755884041 40759511768082