Search a number
-
+
20933144976 = 2431792436353
BaseRepresentation
bin10011011111101101…
…100111000110010000
32000000212101221111210
4103133231213012100
5320332341114401
613341101540120
71340512540122
oct233755470620
960025357453
1020933144976
11897223a717
124082574640
131c87b07923
1410281cd212
15827b434d6
hex4dfb67190

20933144976 has 40 divisors (see below), whose sum is σ = 54379421280. Its totient is φ = 6938730496.

The previous prime is 20933144959. The next prime is 20933145047. The reversal of 20933144976 is 67944133902.

It is a happy number.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1209585 + ... + 1226768.

It is an arithmetic number, because the mean of its divisors is an integer number (1359485532).

Almost surely, 220933144976 is an apocalyptic number.

It is an amenable number.

20933144976 is an abundant number, since it is smaller than the sum of its proper divisors (33446276304).

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

20933144976 is a wasteful number, since it uses less digits than its factorization.

20933144976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436543 (or 2436537 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 20933144976 in words is "twenty billion, nine hundred thirty-three million, one hundred forty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 2436353 4872706 7309059 9745412 14618118 19490824 29236236 38981648 58472472 116944944 436107187 872214374 1308321561 1744428748 2616643122 3488857496 5233286244 6977714992 10466572488 20933144976