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20122645032 = 23327360711069
BaseRepresentation
bin10010101111011001…
…110011001000101000
31220221101022021121100
4102233121303020220
5312202344120112
613124430041400
71311441442410
oct225731631050
956841267540
1020122645032
118596788056
123a97049260
131b88c19769
14d8c6cd640
157cb8e52dc
hex4af673228

20122645032 has 96 divisors (see below), whose sum is σ = 62307273600. Its totient is φ = 5747213952.

The previous prime is 20122645013. The next prime is 20122645033. The reversal of 20122645032 is 23054622102.

It is a happy number.

20122645032 is a `hidden beast` number, since 2 + 0 + 12 + 2 + 645 + 0 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20122644987 and 20122645005.

It is not an unprimeable number, because it can be changed into a prime (20122645033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1812394 + ... + 1823462.

It is an arithmetic number, because the mean of its divisors is an integer number (649034100).

Almost surely, 220122645032 is an apocalyptic number.

It is an amenable number.

20122645032 is an abundant number, since it is smaller than the sum of its proper divisors (42184628568).

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

20122645032 is a wasteful number, since it uses less digits than its factorization.

20122645032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14695 (or 14688 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 20122645032 in words is "twenty billion, one hundred twenty-two million, six hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 3607 7214 10821 11069 14428 21642 22138 25249 28856 32463 33207 43284 44276 50498 64926 66414 75747 77483 86568 88552 99621 100996 129852 132828 151494 154966 199242 201992 227241 232449 259704 265656 302988 309932 398484 454482 464898 605976 619864 697347 796968 908964 929796 1394694 1817928 1859592 2789388 5578776 39925883 79851766 119777649 159703532 239555298 279481181 319407064 359332947 479110596 558962362 718665894 838443543 958221192 1117924724 1437331788 1676887086 2235849448 2515330629 2874663576 3353774172 5030661258 6707548344 10061322516 20122645032