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83786070078 = 2321910913731637
BaseRepresentation
bin100111000001000001…
…0011111100000111110
322000021012021100202200
41032002002133200332
52333043213220303
6102254002132330
76024203562534
oct1160202374076
9260235240680
1083786070078
1132596063617
12142a39510a6
137b93632979
1440ab922154
1522a5a873a3
hex138209f83e

83786070078 has 96 divisors (see below), whose sum is σ = 193102509600. Its totient is φ = 26180921088.

The previous prime is 83786070047. The next prime is 83786070079. The reversal of 83786070078 is 87007068738.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83786070079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51181876 + ... + 51183512.

It is an arithmetic number, because the mean of its divisors is an integer number (2011484475).

Almost surely, 283786070078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83786070078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96551254800).

83786070078 is an abundant number, since it is smaller than the sum of its proper divisors (109316439522).

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

83786070078 is a wasteful number, since it uses less digits than its factorization.

83786070078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 83786070078 in words is "eighty-three billion, seven hundred eighty-six million, seventy thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 109 114 171 218 327 342 654 981 1373 1637 1962 2071 2746 3274 4119 4142 4911 6213 8238 9822 12357 12426 14733 18639 24714 26087 29466 31103 37278 52174 62206 78261 93309 149657 156522 178433 186618 234783 279927 299314 356866 448971 469566 535299 559854 897942 1070598 1346913 1605897 2247601 2693826 2843483 3211794 3390227 4495202 5686966 6742803 6780454 8530449 10170681 13485606 17060898 20228409 20341362 25591347 30512043 40456818 42704419 51182694 61024086 85408838 128113257 244988509 256226514 384339771 489977018 734965527 768679542 1469931054 2204896581 4409793162 4654781671 9309563342 13964345013 27928690026 41893035039 83786070078