Search a number
-
+
20679770664 = 2333729720143
BaseRepresentation
bin10011010000100111…
…000100001000101000
31222101012122012022000
4103100213010020220
5314323010130124
613300011131000
71331315102400
oct232047041050
958335565260
1020679770664
118852211863
124011743a60
131c474833b7
1410026b5800
158107946c9
hex4d09c4228

20679770664 has 192 divisors, whose sum is σ = 67514630400. Its totient is φ = 5847303168.

The previous prime is 20679770651. The next prime is 20679770681. The reversal of 20679770664 is 46607797602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20679770664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016577 + ... + 1036719.

It is an arithmetic number, because the mean of its divisors is an integer number (351638700).

Almost surely, 220679770664 is an apocalyptic number.

20679770664 is a gapful number since it is divisible by the number (24) 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 20679770664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33757315200).

20679770664 is an abundant number, since it is smaller than the sum of its proper divisors (46834859736).

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

20679770664 is a wasteful number, since it uses less digits than its factorization.

20679770664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20269 (or 20252 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 20679770664 in words is "twenty billion, six hundred seventy-nine million, seven hundred seventy thousand, six hundred sixty-four".