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929201020092 = 223427138327631
BaseRepresentation
bin11011000010110001011…
…00100101110010111100
310021211102121122121020000
431201120230211302330
5110211000430120332
61550511414354300
7124063316231622
oct15413054456274
93254377577200
10929201020092
1132908782a454
1213010365b990
1369814467717
1432d8b68d512
1519285e30b7c
hexd858b25cbc

929201020092 has 120 divisors (see below), whose sum is σ = 2444532744192. Its totient is φ = 307773885600.

The previous prime is 929201020067. The next prime is 929201020133. The reversal of 929201020092 is 290020102929.

929201020092 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33615117 + ... + 33642747.

Almost surely, 2929201020092 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 929201020092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222266372096).

929201020092 is an abundant number, since it is smaller than the sum of its proper divisors (1515331724100).

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

929201020092 is a wasteful number, since it uses less digits than its factorization.

929201020092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28301 (or 28290 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 929201020092 in words is "nine hundred twenty-nine billion, two hundred one million, twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 271 324 383 542 766 813 1084 1149 1532 1626 2298 2439 3252 3447 4596 4878 6894 7317 9756 10341 13788 14634 20682 21951 27631 29268 31023 41364 43902 55262 62046 82893 87804 103793 110524 124092 165786 207586 248679 311379 331572 415172 497358 622758 746037 934137 994716 1245516 1492074 1868274 2238111 2802411 2984148 3736548 4476222 5604822 7488001 8407233 8952444 10582673 11209644 14976002 16814466 21165346 22464003 29952004 31748019 33628932 42330692 44928006 63496038 67392009 89856012 95244057 126992076 134784018 190488114 202176027 269568036 285732171 380976228 404352054 571464342 606528081 808704108 857196513 1142928684 1213056162 1714393026 2426112324 2867904383 3428786052 5735808766 8603713149 11471617532 17207426298 25811139447 34414852596 51622278894 77433418341 103244557788 154866836682 232300255023 309733673364 464600510046 929201020092