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82045151040 = 2635233715813
BaseRepresentation
bin100110001101001000…
…1011010011101000000
321211202212102111210210
41030122101122131000
52321012024313130
6101405132154120
75633104164036
oct1143221323500
9254685374723
1082045151040
1131882392356
1213a98908940
137976a5a468
143d84628556
152202cee5b0
hex131a45a740

82045151040 has 112 divisors (see below), whose sum is σ = 271819225728. Its totient is φ = 20927453184.

The previous prime is 82045151033. The next prime is 82045151051. The reversal of 82045151040 is 4015154028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82045150989 and 82045151007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835827 + ... + 1879986.

Almost surely, 282045151040 is an apocalyptic number.

82045151040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82045151040 is an abundant number, since it is smaller than the sum of its proper divisors (189774074688).

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

82045151040 is a wasteful number, since it uses less digits than its factorization.

82045151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715856 (or 3715846 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 82045151040 in words is "eighty-two billion, forty-five million, one hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 22080 3715813 7431626 11147439 14863252 18579065 22294878 29726504 37158130 44589756 55737195 59453008 74316260 85463699 89179512 111474390 118906016 148632520 170927398 178359024 222948780 237812032 256391097 297265040 341854796 356718048 427318495 445897560 512782194 594530080 683709592 713436096 854636990 891795120 1025564388 1189060160 1281955485 1367419184 1709273980 1783590240 2051128776 2563910970 2734838368 3418547960 3567180480 4102257552 5127821940 5469676736 6837095920 8204515104 10255643880 13674191840 16409030208 20511287760 27348383680 41022575520 82045151040