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20322245952 = 263324148799
BaseRepresentation
bin10010111011010011…
…001101110101000000
31221110021220001121000
4102323103031311000
5313104443332302
613200320132000
71316414145321
oct227323156500
957407801530
1020322245952
118689418198
123b31a67000
131bbb394208
14dab00a448
157de1c131c
hex4bb4cdd40

20322245952 has 112 divisors (see below), whose sum is σ = 59992768000. Its totient is φ = 6745835520.

The previous prime is 20322245939. The next prime is 20322245969. The reversal of 20322245952 is 25954222302.

It is a happy number.

20322245952 is a `hidden beast` number, since 2 + 0 + 322 + 245 + 95 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392049 + ... + 440847.

Almost surely, 220322245952 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 20322245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29996384000).

20322245952 is an abundant number, since it is smaller than the sum of its proper divisors (39670522048).

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

20322245952 is a wasteful number, since it uses less digits than its factorization.

20322245952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49061 (or 49045 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20322245952 in words is "twenty billion, three hundred twenty-two million, two hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 241 288 432 482 576 723 864 964 1446 1728 1928 2169 2892 3856 4338 5784 6507 7712 8676 11568 13014 15424 17352 23136 26028 34704 46272 48799 52056 69408 97598 104112 138816 146397 195196 208224 292794 390392 416448 439191 585588 780784 878382 1171176 1317573 1561568 1756764 2342352 2635146 3123136 3513528 4684704 5270292 7027056 9369408 10540584 11760559 14054112 21081168 23521118 28108224 35281677 42162336 47042236 70563354 84324672 94084472 105845031 141126708 188168944 211690062 282253416 317535093 376337888 423380124 564506832 635070186 752675776 846760248 1129013664 1270140372 1693520496 2258027328 2540280744 3387040992 5080561488 6774081984 10161122976 20322245952