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20416263816 = 23313307213149
BaseRepresentation
bin10011000000111001…
…110111011010001000
31221200211210122212010
4103000321313122020
5313303030420231
613213515215520
71321635244014
oct230071673210
957624718763
1020416263816
1187274a3203
123b594475a0
131c049c1ba0
14db96c1544
157e7593546
hex4c0e77688

20416263816 has 64 divisors (see below), whose sum is σ = 55146168000. Its totient is φ = 6261435648.

The previous prime is 20416263811. The next prime is 20416263821. The reversal of 20416263816 is 61836261402.

It is an interprime number because it is at equal distance from previous prime (20416263811) and next prime (20416263821).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (20416263811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10791 + ... + 202358.

It is an arithmetic number, because the mean of its divisors is an integer number (861658875).

Almost surely, 220416263816 is an apocalyptic number.

20416263816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20416263816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27573084000).

20416263816 is an abundant number, since it is smaller than the sum of its proper divisors (34729904184).

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

20416263816 is a wasteful number, since it uses less digits than its factorization.

20416263816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213478 (or 213474 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 20416263816 in words is "twenty billion, four hundred sixteen million, two hundred sixty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 307 312 614 921 1228 1842 2456 3684 3991 7368 7982 11973 15964 23946 31928 47892 95784 213149 426298 639447 852596 1278894 1705192 2557788 2770937 5115576 5541874 8312811 11083748 16625622 22167496 33251244 65436743 66502488 130873486 196310229 261746972 392620458 523493944 785240916 850677659 1570481832 1701355318 2552032977 3402710636 5104065954 6805421272 10208131908 20416263816