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88664096016 = 2433475382393
BaseRepresentation
bin101001010010011001…
…0101011110100010000
322110212011010202101000
41102210302223310100
52423041002033031
6104422015142000
76256115244516
oct1224462536420
9273764122330
1088664096016
1134669630711
1215225514900
138490125c52
1444117124b6
15248de483e6
hex14a4cabd10

88664096016 has 160 divisors (see below), whose sum is σ = 264820907520. Its totient is φ = 28379759616.

The previous prime is 88664095931. The next prime is 88664096047. The reversal of 88664096016 is 61069046688.

It is a super-2 number, since 2×886640960162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1034916 + ... + 1117308.

It is an arithmetic number, because the mean of its divisors is an integer number (1655130672).

Almost surely, 288664096016 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 88664096016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132410453760).

88664096016 is an abundant number, since it is smaller than the sum of its proper divisors (176156811504).

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

88664096016 is a wasteful number, since it uses less digits than its factorization.

88664096016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82510 (or 82498 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 88664096016 in words is "eighty-eight billion, six hundred sixty-four million, ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 53 54 72 94 106 108 141 144 159 188 212 216 282 318 376 423 424 432 477 564 636 752 846 848 954 1128 1269 1272 1431 1692 1908 2256 2491 2538 2544 2862 3384 3816 4982 5076 5724 6768 7473 7632 9964 10152 11448 14946 19928 20304 22419 22896 29892 39856 44838 59784 67257 82393 89676 119568 134514 164786 179352 247179 269028 329572 358704 494358 538056 659144 741537 988716 1076112 1318288 1483074 1977432 2224611 2966148 3872471 3954864 4366829 4449222 5932296 7744942 8733658 8898444 11617413 11864592 13100487 15489884 17467316 17796888 23234826 26200974 30979768 34852239 34934632 35593776 39301461 46469652 52401948 61959536 69704478 69869264 78602922 92939304 104556717 104803896 117904383 139408956 157205844 185878608 205240963 209113434 209607792 235808766 278817912 314411688 410481926 418226868 471617532 557635824 615722889 628823376 820963852 836453736 943235064 1231445778 1641927704 1672907472 1847168667 1886470128 2462891556 3283855408 3694337334 4925783112 5541506001 7388674668 9851566224 11083012002 14777349336 22166024004 29554698672 44332048008 88664096016