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20692042812 = 22337231126131
BaseRepresentation
bin10011010001010101…
…111000010000111100
31222102001201200112000
4103101111320100330
5314334130332222
613301130142300
71331524314300
oct232125702074
958361650460
1020692042812
118859134031
124015881990
131c49b8c21c
14100418bd00
158118ba9ac
hex4d157843c

20692042812 has 144 divisors (see below), whose sum is σ = 64418135040. Its totient is φ = 5721256800.

The previous prime is 20692042783. The next prime is 20692042831. The reversal of 20692042812 is 21824029602.

20692042812 is a `hidden beast` number, since 206 + 9 + 20 + 428 + 1 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 100987 + ... + 227117.

It is an arithmetic number, because the mean of its divisors is an integer number (447348160).

Almost surely, 220692042812 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 20692042812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32209067520).

20692042812 is an abundant number, since it is smaller than the sum of its proper divisors (43726092228).

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

20692042812 is a wasteful number, since it uses less digits than its factorization.

20692042812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126189 (or 126174 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20692042812 in words is "twenty billion, six hundred ninety-two million, forty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 372 378 434 441 558 588 651 756 837 868 882 1116 1302 1323 1519 1674 1764 1953 2604 2646 3038 3348 3906 4557 5292 5859 6076 7812 9114 11718 13671 18228 23436 27342 41013 54684 82026 126131 164052 252262 378393 504524 756786 882917 1135179 1513572 1765834 2270358 2648751 3405537 3531668 3910061 4540716 5297502 6180419 6811074 7820122 7946253 10595004 11730183 12360838 13622148 15640244 15892506 18541257 23460366 23838759 24721676 27370427 31785012 35190549 37082514 46920732 47677518 54740854 55623771 70381098 74165028 82111281 95355036 105571647 109481708 111247542 140762196 164222562 166871313 191592989 211143294 222495084 246333843 328445124 333742626 383185978 422286588 492667686 574778967 667485252 739001529 766371956 985335372 1149557934 1478003058 1724336901 2299115868 2956006116 3448673802 5173010703 6897347604 10346021406 20692042812