Search a number
-
+
466729078140 = 2232513199456871
BaseRepresentation
bin1101100101010110011…
…10001000110101111100
31122121201011002202121100
412302223032020311330
530121330121000030
6554225023533100
745501660464223
oct6625316106574
91577634082540
10466729078140
1116aa36440466
127655675a190
1335021214b70
141883860bcba
15c219c9c360
hex6cab388d7c

466729078140 has 72 divisors (see below), whose sum is σ = 1524648329568. Its totient is φ = 114887157120.

The previous prime is 466729078129. The next prime is 466729078177. The reversal of 466729078140 is 41870927664.

466729078140 is a `hidden beast` number, since 466 + 72 + 9 + 0 + 78 + 1 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99726096 + ... + 99730775.

It is an arithmetic number, because the mean of its divisors is an integer number (21175671244).

Almost surely, 2466729078140 is an apocalyptic number.

It is an amenable number.

466729078140 is an abundant number, since it is smaller than the sum of its proper divisors (1057919251428).

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

466729078140 is a wasteful number, since it uses less digits than its factorization.

466729078140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199456899 (or 199456894 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 466729078140 in words is "four hundred sixty-six billion, seven hundred twenty-nine million, seventy-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 199456871 398913742 598370613 797827484 997284355 1196741226 1795111839 1994568710 2393482452 2592939323 2991853065 3590223678 3989137420 5185878646 5983706130 7180447356 7778817969 8975559195 10371757292 11967412260 12964696615 15557635938 17951118390 23336453907 25929393230 31115271876 35902236780 38894089845 46672907814 51858786460 77788179690 93345815628 116682269535 155576359380 233364539070 466729078140