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82954903122 = 232713251201769
BaseRepresentation
bin100110101000001111…
…1110101111001010010
321221010021021201001100
41031100133311321102
52324342423344442
6102035311245230
75664462020340
oct1152037657122
9257107251040
1082954903122
11321a9975583
12140b1519816
137a903898c0
14402d3a2990
152257b0584c
hex13507f5e52

82954903122 has 96 divisors (see below), whose sum is σ = 222095502720. Its totient is φ = 21790944000.

The previous prime is 82954903121. The next prime is 82954903147. The reversal of 82954903122 is 22130945928.

82954903122 is a `hidden beast` number, since 8 + 295 + 49 + 0 + 312 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (82954903121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310254 + ... + 512022.

It is an arithmetic number, because the mean of its divisors is an integer number (2313494820).

Almost surely, 282954903122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82954903122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111047751360).

82954903122 is an abundant number, since it is smaller than the sum of its proper divisors (139140599598).

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

82954903122 is a wasteful number, since it uses less digits than its factorization.

82954903122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202048 (or 202045 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 82954903122 in words is "eighty-two billion, nine hundred fifty-four million, nine hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 251 273 502 546 753 819 1506 1638 1757 2259 3263 3514 4518 5271 6526 9789 10542 15813 19578 22841 29367 31626 45682 58734 68523 137046 201769 205569 403538 411138 605307 1210614 1412383 1815921 2622997 2824766 3631842 4237149 5245994 7868991 8474298 12711447 15737982 18360979 23606973 25422894 36721958 47213946 50644019 55082937 101288038 110165874 151932057 165248811 303864114 330497622 354508133 455796171 658372247 709016266 911592342 1063524399 1316744494 1975116741 2127048798 3190573197 3950233482 4608605729 5925350223 6381146394 9217211458 11850700446 13825817187 27651634374 41477451561 82954903122