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104566742616 = 233743112912821
BaseRepresentation
bin110000101100010101…
…0011101111001011000
3100222220102202220102010
41201120222131321120
53203123041230431
6120012020105520
710361155434630
oct1413052357130
9328812686363
10104566742616
114038a222456
12183232352a0
139b259841cb
1450bd7816c0
152ac010d846
hex1858a9de58

104566742616 has 128 divisors (see below), whose sum is σ = 306004723200. Its totient is φ = 29153295360.

The previous prime is 104566742591. The next prime is 104566742629. The reversal of 104566742616 is 616247665401.

It is a super-2 number, since 2×1045667426162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8149486 + ... + 8162306.

It is an arithmetic number, because the mean of its divisors is an integer number (2390661900).

Almost surely, 2104566742616 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 104566742616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153002361600).

104566742616 is an abundant number, since it is smaller than the sum of its proper divisors (201437980584).

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

104566742616 is a wasteful number, since it uses less digits than its factorization.

104566742616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14009 (or 14005 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 104566742616 in words is "one hundred four billion, five hundred sixty-six million, seven hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1129 1204 1806 2258 2408 3387 3612 4516 6774 7224 7903 9032 12821 13548 15806 23709 25642 27096 31612 38463 47418 48547 51284 63224 76926 89747 94836 97094 102568 145641 153852 179494 189672 194188 269241 291282 307704 339829 358988 388376 538482 551303 582564 679658 717976 1019487 1076964 1102606 1165128 1359316 1653909 2038974 2153928 2205212 2718632 3307818 3859121 4077948 4410424 6615636 7718242 8155896 11577363 13231272 14474909 15436484 23154726 28949818 30872968 43424727 46309452 57899636 86849454 92618904 101324363 115799272 173698908 202648726 303973089 347397816 405297452 607946178 622421087 810594904 1215892356 1244842174 1867263261 2431784712 2489684348 3734526522 4356947609 4979368696 7469053044 8713895218 13070842827 14938106088 17427790436 26141685654 34855580872 52283371308 104566742616