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80846002116 = 223211675995087
BaseRepresentation
bin100101101001011001…
…1000001011111000100
321201200022000102201200
41023102303001133010
52311033034031431
6101050134222500
75561303452035
oct1132263013704
9251608012650
1080846002116
1131317507a90
12138031b4a30
1378154a3499
143cad27aa8c
1521828d0ee6
hex12d2cc17c4

80846002116 has 144 divisors (see below), whose sum is σ = 226688716800. Its totient is φ = 24088109760.

The previous prime is 80846002093. The next prime is 80846002121. The reversal of 80846002116 is 61120064808.

80846002116 is a `hidden beast` number, since 80 + 8 + 460 + 0 + 2 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 15890125 + ... + 15895211.

It is an arithmetic number, because the mean of its divisors is an integer number (1574227200).

Almost surely, 280846002116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80846002116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113344358400).

80846002116 is an abundant number, since it is smaller than the sum of its proper divisors (145842714684).

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

80846002116 is a wasteful number, since it uses less digits than its factorization.

80846002116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 80846002116 in words is "eighty billion, eight hundred forty-six million, two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 599 603 737 804 1198 1206 1474 1797 2211 2396 2412 2948 3594 4422 5087 5391 6589 6633 7188 8844 10174 10782 13178 13266 15261 19767 20348 21564 26356 26532 30522 39534 40133 45783 55957 59301 61044 79068 80266 91566 111914 118602 120399 160532 167871 183132 223828 237204 240798 335742 340829 361197 441463 481596 503613 671484 681658 722394 882926 1007226 1022487 1324389 1363316 1444788 1765852 2014452 2044974 2648778 3047113 3067461 3749119 3973167 4089948 5297556 6094226 6134922 7498238 7946334 9141339 11247357 12188452 12269844 14996476 15892668 18282678 22494714 27424017 33518243 33742071 36565356 44989428 54848034 67036486 67484142 100554729 109696068 134072972 134968284 201109458 204156571 301664187 402218916 408313142 603328374 612469713 816626284 1206656748 1224939426 1837409139 2245722281 2449878852 3674818278 4491444562 6737166843 7349636556 8982889124 13474333686 20211500529 26948667372 40423001058 80846002116