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82951389450 = 232522315153077
BaseRepresentation
bin100110101000001001…
…0011100000100001010
321221010000200012012100
41031100102130010022
52324341023430300
6102035104054230
75664420114366
oct1152022340412
9257100605170
1082951389450
11321a7995716
12140b0304376
137a8c7294c7
14402cb2a2a6
15225765e700
hex135049c10a

82951389450 has 144 divisors (see below), whose sum is σ = 234096909696. Its totient is φ = 21018096000.

The previous prime is 82951389361. The next prime is 82951389481. The reversal of 82951389450 is 5498315928.

82951389450 is a `hidden beast` number, since 8 + 2 + 9 + 513 + 89 + 45 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1536312 + ... + 1589388.

It is an arithmetic number, because the mean of its divisors is an integer number (1625672984).

Almost surely, 282951389450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82951389450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117048454848).

82951389450 is an abundant number, since it is smaller than the sum of its proper divisors (151145520246).

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

82951389450 is a wasteful number, since it uses less digits than its factorization.

82951389450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53269 (or 53261 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 82951389450 in words is "eighty-two billion, nine hundred fifty-one million, three hundred eighty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 151 207 225 230 302 345 414 450 453 575 690 755 906 1035 1150 1359 1510 1725 2070 2265 2718 3450 3473 3775 4530 5175 6795 6946 7550 10350 10419 11325 13590 17365 20838 22650 31257 33975 34730 52095 53077 62514 67950 86825 104190 106154 156285 159231 173650 260475 265385 312570 318462 477693 520950 530770 781425 796155 955386 1220771 1326925 1562850 1592310 2388465 2441542 2653850 3662313 3980775 4776930 6103855 7324626 7961550 8014627 10986939 11942325 12207710 16029254 18311565 21973878 23884650 24043881 30519275 36623130 40073135 48087762 54934695 61038550 72131643 80146270 91557825 109869390 120219405 144263286 183115650 184336421 200365675 240438810 274673475 360658215 368672842 400731350 549346950 553009263 601097025 721316430 921682105 1106018526 1202194050 1659027789 1803291075 1843364210 2765046315 3318055578 3606582150 4608410525 5530092630 8295138945 9216821050 13825231575 16590277890 27650463150 41475694725 82951389450