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20714986676736 = 29361116693023
BaseRepresentation
bin1001011010111000101010…
…11011000010001000000000
32201100100000001000222000000
410231130111123002020000
510203343243042123421
6112020200012000000
74235415452344332
oct455342533021000
981310001028000
1020714986676736
1166671a3a38790
1223a6853160000
13b735515b3621
14518879ab9452
1525dc9e9c0226
hex12d7156c2200

20714986676736 has 560 divisors, whose sum is σ = 67760296813440. Its totient is φ = 6271432335360.

The previous prime is 20714986676717. The next prime is 20714986676831. The reversal of 20714986676736 is 63767668941702.

20714986676736 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 498 + 6 + 67 + 6 + 73 + 6 = 666.

It is a super-2 number, since 2×207149866767362 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 55 ways as a sum of consecutive naturals, for example, 6852458521 + ... + 6852461543.

It is an arithmetic number, because the mean of its divisors is an integer number (121000530024).

Almost surely, 220714986676736 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 20714986676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33880148406720).

20714986676736 is an abundant number, since it is smaller than the sum of its proper divisors (47045310136704).

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

20714986676736 is an equidigital number, since it uses as much as digits as its factorization.

20714986676736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 20714986676736 in words is "twenty trillion, seven hundred fourteen billion, nine hundred eighty-six million, six hundred seventy-six thousand, seven hundred thirty-six".