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92642327712 = 2532113241679
BaseRepresentation
bin101011001000111101…
…0011011110010100000
322212010101212212022200
41112101322123302200
53004212413441322
6110320450333200
76456522535614
oct1262172336240
9285111785280
1092642327712
11363201a7000
1215b5588a200
1389753953bc
1446abbdb344
15262331d8ac
hex1591e9bca0

92642327712 has 144 divisors (see below), whose sum is σ = 289778186880. Its totient is φ = 28073316480.

The previous prime is 92642327653. The next prime is 92642327803. The reversal of 92642327712 is 21772324629.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262489 + ... + 504167.

It is an arithmetic number, because the mean of its divisors is an integer number (2012348520).

Almost surely, 292642327712 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 92642327712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144889093440).

92642327712 is an abundant number, since it is smaller than the sum of its proper divisors (197135859168).

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

92642327712 is a wasteful number, since it uses less digits than its factorization.

92642327712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241728 (or 241695 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 92642327712 in words is "ninety-two billion, six hundred forty-two million, three hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1331 1452 1584 1936 2178 2662 2904 3168 3872 3993 4356 5324 5808 7986 8712 10648 11616 11979 15972 17424 21296 23958 31944 34848 42592 47916 63888 95832 127776 191664 241679 383328 483358 725037 966716 1450074 1933432 2175111 2658469 2900148 3866864 4350222 5316938 5800296 7733728 7975407 8700444 10633876 11600592 15950814 17400888 21267752 23201184 23926221 29243159 31901628 34801776 42535504 47852442 58486318 63803256 69603552 85071008 87729477 95704884 116972636 127606512 175458954 191409768 233945272 255213024 263188431 321674749 350917908 382819536 467890544 526376862 643349498 701835816 765639072 935781088 965024247 1052753724 1286698996 1403671632 1930048494 2105507448 2573397992 2807343264 2895072741 3860096988 4211014896 5146795984 5790145482 7720193976 8422029792 10293591968 11580290964 15440387952 23160581928 30880775904 46321163856 92642327712