Search a number
-
+
245460122064 = 2433709801403
BaseRepresentation
bin1110010010011010010…
…0000011100111010000
3212110120112112011101000
43210212210003213100
513010200242401224
6304432434142000
723506505420013
oct3444644034720
9773515464330
10245460122064
119510a926813
123b6a4121900
131a1ba6622a1
14bc478c537a
1565b94a00c9
hex39269039d0

245460122064 has 80 divisors (see below), whose sum is σ = 705556081600. Its totient is φ = 81704536704.

The previous prime is 245460122041. The next prime is 245460122071. The reversal of 245460122064 is 460221064542.

245460122064 is a `hidden beast` number, since 2 + 45 + 4 + 601 + 2 + 2 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94414 + ... + 706989.

It is an arithmetic number, because the mean of its divisors is an integer number (8819451020).

Almost surely, 2245460122064 is an apocalyptic number.

245460122064 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 245460122064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352778040800).

245460122064 is an abundant number, since it is smaller than the sum of its proper divisors (460095959536).

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

245460122064 is a wasteful number, since it uses less digits than its factorization.

245460122064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802129 (or 802117 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 245460122064 in words is "two hundred forty-five billion, four hundred sixty million, one hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 709 1418 2127 2836 4254 5672 6381 8508 11344 12762 17016 19143 25524 34032 38286 51048 76572 102096 153144 306288 801403 1602806 2404209 3205612 4808418 6411224 7212627 9616836 12822448 14425254 19233672 21637881 28850508 38467344 43275762 57701016 86551524 115402032 173103048 346206096 568194727 1136389454 1704584181 2272778908 3409168362 4545557816 5113752543 6818336724 9091115632 10227505086 13636673448 15341257629 20455010172 27273346896 30682515258 40910020344 61365030516 81820040688 122730061032 245460122064