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20614695752 = 2376114094283
BaseRepresentation
bin10011001100101110…
…110100101101001000
31222012200012001022002
4103030232310231020
5314204330231002
613245324250132
71326565010540
oct231456645510
958180161262
1020614695752
118819505042
123bb39a0948
131c36b4a531
14dd7bb6320
15809bdd002
hex4ccbb4b48

20614695752 has 64 divisors (see below), whose sum is σ = 44940873600. Its totient is φ = 8681840640.

The previous prime is 20614695749. The next prime is 20614695767. The reversal of 20614695752 is 25759641602.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20614695697 and 20614695706.

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, 4811003 + ... + 4815285.

It is an arithmetic number, because the mean of its divisors is an integer number (702201150).

Almost surely, 220614695752 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 20614695752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470436800).

20614695752 is an abundant number, since it is smaller than the sum of its proper divisors (24326177848).

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

20614695752 is a wasteful number, since it uses less digits than its factorization.

20614695752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 20614695752 in words is "twenty billion, six hundred fourteen million, six hundred ninety-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1409 1708 2818 3416 4283 5636 8566 9863 11272 17132 19726 29981 34264 39452 59962 78904 85949 119924 171898 239848 261263 343796 522526 601643 687592 1045052 1203286 1828841 2090104 2406572 3657682 4813144 6034747 7315364 12069494 14630728 24138988 42243229 48277976 84486458 168972916 337945832 368119567 736239134 1472478268 2576836969 2944956536 5153673938 10307347876 20614695752