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83080234063332 = 2232111913313331549
BaseRepresentation
bin10010111000111110011111…
…110101101101010111100100
3101220011101121100200000121100
4102320332133311231113210
541342141304410011312
6452410311014320100
723333230435504422
oct2270763765552744
9356141540600540
1083080234063332
1124521147260170
12939960a359030
13374858114982c
141673167754112
15991192e835dc
hex4b8f9fd6d5e4

83080234063332 has 144 divisors (see below), whose sum is σ = 230369724748800. Its totient is φ = 25036383052800.

The previous prime is 83080234063319. The next prime is 83080234063369. The reversal of 83080234063332 is 23336043208038.

83080234063332 is a `hidden beast` number, since 8 + 3 + 0 + 8 + 0 + 2 + 3 + 4 + 0 + 633 + 3 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250416294 + ... + 250747842.

It is an arithmetic number, because the mean of its divisors is an integer number (1599789755200).

Almost surely, 283080234063332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83080234063332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115184862374400).

83080234063332 is an abundant number, since it is smaller than the sum of its proper divisors (147289490685468).

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

83080234063332 is a wasteful number, since it uses less digits than its factorization.

83080234063332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335074 (or 335069 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 83080234063332 in words is "eighty-three trillion, eighty billion, two hundred thirty-four million, sixty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 191 198 382 396 573 764 1146 1719 2101 2292 3313 3438 4202 6303 6626 6876 8404 9939 12606 13252 18909 19878 25212 29817 36443 37818 39756 59634 72886 75636 109329 119268 145772 218658 327987 331549 437316 632783 655974 663098 994647 1265566 1311948 1326196 1898349 1989294 2531132 2983941 3647039 3796698 3978588 5695047 5967882 6960613 7294078 7593396 10941117 11390094 11935764 13921226 14588156 20881839 21882234 22780188 27842452 32823351 41763678 43764468 62645517 63325859 65646702 83527356 125291034 126651718 131293404 189977577 250582068 253303436 379955154 569932731 696584449 759910308 1098421837 1139865462 1393168898 2089753347 2196843674 2279730924 2786337796 3295265511 4179506694 4393687348 6269260041 6590531022 8359013388 9885796533 12082640207 12538520082 13181062044 19771593066 24165280414 25077040164 36247920621 39543186132 48330560828 72495841242 108743761863 144991682484 209798570867 217487523726 419597141734 434975047452 629395712601 839194283468 1258791425202 1888187137803 2307784279537 2517582850404 3776374275606 4615568559074 6923352838611 7552748551212 9231137118148 13846705677222 20770058515833 27693411354444 41540117031666 83080234063332