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182010000992 = 25233717937339
BaseRepresentation
bin1010100110000010100…
…1000011011001100000
3122101210120221001020212
42221200221003121200
510440224030012432
6215340401553252
716102243324211
oct2514051033140
9571716831225
10182010000992
117020a99a726
122b336945828
13142181b0a51
148b48b39408
154b03de42b2
hex2a60a43660

182010000992 has 96 divisors (see below), whose sum is σ = 386173267200. Its totient is φ = 84220190208.

The previous prime is 182010000979. The next prime is 182010001001. The reversal of 182010000992 is 299000010281.

It is a happy number.

It is a super-2 number, since 2×1820100009922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4855859 + ... + 4893197.

It is an arithmetic number, because the mean of its divisors is an integer number (4022638200).

Almost surely, 2182010000992 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 182010000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193086633600).

182010000992 is an abundant number, since it is smaller than the sum of its proper divisors (204163266208).

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

182010000992 is a wasteful number, since it uses less digits than its factorization.

182010000992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37588 (or 37580 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 182010000992 in words is "one hundred eighty-two billion, ten million, nine hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 23 32 37 46 74 92 148 179 184 296 358 368 592 716 736 851 1184 1432 1702 2864 3404 4117 5728 6623 6808 8234 13246 13616 16468 26492 27232 32936 37339 52984 65872 74678 105968 131744 149356 152329 211936 298712 304658 597424 609316 858797 1194848 1218632 1381543 1717594 2437264 2763086 3435188 4874528 5526172 6683681 6870376 11052344 13367362 13740752 22104688 26734724 27481504 31775489 44209376 53469448 63550978 106938896 127101956 153724663 213877792 247296197 254203912 307449326 494592394 508407824 614898652 989184788 1016815648 1229797304 1978369576 2459594608 3956739152 4919189216 5687812531 7913478304 11375625062 22751250124 45502500248 91005000496 182010000992