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84697113438 = 23273746139409
BaseRepresentation
bin100111011100001010…
…1110110001101011110
322002121200120011022100
41032320111312031132
52341424430112223
6102524225025530
76055605404610
oct1167025661536
9262550504270
1084697113438
1132a13348a13
12144b8a852a6
137caa2c4a92
144156914db0
15230aa46043
hex13b857635e

84697113438 has 96 divisors (see below), whose sum is σ = 215867171520. Its totient is φ = 23493473280.

The previous prime is 84697113383. The next prime is 84697113493. The reversal of 84697113438 is 83431179648.

84697113438 is a `hidden beast` number, since 8 + 4 + 6 + 97 + 113 + 438 = 666.

It is an interprime number because it is at equal distance from previous prime (84697113383) and next prime (84697113493).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2129478 + ... + 2168886.

It is an arithmetic number, because the mean of its divisors is an integer number (2248616370).

Almost surely, 284697113438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84697113438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107933585760).

84697113438 is an abundant number, since it is smaller than the sum of its proper divisors (131170058082).

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

84697113438 is a wasteful number, since it uses less digits than its factorization.

84697113438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39922 (or 39919 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

It can be divided in two parts, 84697 and 113438, that added together give a triangular number (198135 = T629).

The spelling of 84697113438 in words is "eighty-four billion, six hundred ninety-seven million, one hundred thirteen thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 461 518 666 777 922 1383 1554 2331 2766 3227 4149 4662 6454 8298 9681 17057 19362 29043 34114 39409 51171 58086 78818 102342 118227 119399 153513 236454 238798 275863 307026 354681 358197 551726 709362 716394 827589 1074591 1458133 1655178 2149182 2482767 2916266 4374399 4965534 8748798 10206931 13123197 18167549 20413862 26246394 30620793 36335098 54502647 61241586 91862379 109005294 127172843 163507941 183724758 254345686 327015882 381518529 672199313 763037058 1144555587 1344398626 2016597939 2289111174 4033195878 4705395191 6049793817 9410790382 12099587634 14116185573 28232371146 42348556719 84697113438