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92538880992 = 25327331114153
BaseRepresentation
bin101011000101110111…
…1110100001111100000
322211212012020020002200
41112023233310033200
53004004423142432
6110302313213200
76454125336645
oct1261357641740
9284765206080
1092538880992
1136277870a48
1215b27101200
138959b15b1c
14469c18ddcc
1526191d7a7c
hex158bbf43e0

92538880992 has 144 divisors (see below), whose sum is σ = 267639005088. Its totient is φ = 30323773440.

The previous prime is 92538880943. The next prime is 92538880997. The reversal of 92538880992 is 29908883529.

92538880992 is a `hidden beast` number, since 9 + 2 + 538 + 8 + 8 + 0 + 9 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92538880997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6531388 + ... + 6545540.

It is an arithmetic number, because the mean of its divisors is an integer number (1858604202).

Almost surely, 292538880992 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 92538880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133819502544).

92538880992 is an abundant number, since it is smaller than the sum of its proper divisors (175100124096).

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

92538880992 is a wasteful number, since it uses less digits than its factorization.

92538880992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14553 (or 14542 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 92538880992 in words is "ninety-two billion, five hundred thirty-eight million, eight hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 311 438 584 622 657 876 933 1168 1244 1314 1752 1866 2336 2488 2628 2799 3504 3732 4976 5256 5598 7008 7464 9952 10512 11196 14153 14928 21024 22392 22703 28306 29856 42459 44784 45406 56612 68109 84918 89568 90812 113224 127377 136218 169836 181624 204327 226448 254754 272436 339672 363248 408654 452896 509508 544872 679344 726496 817308 1019016 1033169 1089744 1358688 1634616 2038032 2066338 2179488 3099507 3269232 4076064 4132676 4401583 6199014 6538464 8265352 8803166 9298521 12398028 13204749 16530704 17606332 18597042 24796056 26409498 33061408 35212664 37194084 39614247 49592112 52818996 70425328 74388168 79228494 99184224 105637992 140850656 148776336 158456988 211275984 297552672 316913976 321315559 422551968 633827952 642631118 963946677 1267655904 1285262236 1927893354 2570524472 2891840031 3855786708 5141048944 5783680062 7711573416 10282097888 11567360124 15423146832 23134720248 30846293664 46269440496 92538880992