Search a number
-
+
2914570064 = 247295316931
BaseRepresentation
bin1010110110111000…
…1100111101010000
321112010021111111102
42231232030331100
521432112220224
61201113203532
7132140302550
oct25556147520
97463244442
102914570064
11126622069a
126941005a8
13375aa2793
141d9129160
15120d1b4ae
hexadb8cf50

2914570064 has 80 divisors (see below), whose sum is σ = 6802600320. Its totient is φ = 1183203840.

The previous prime is 2914570033. The next prime is 2914570067. The reversal of 2914570064 is 4600754192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2914570067) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 163679 + ... + 180609.

It is an arithmetic number, because the mean of its divisors is an integer number (85032504).

Almost surely, 22914570064 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 2914570064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401300160).

2914570064 is an abundant number, since it is smaller than the sum of its proper divisors (3888030256).

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

2914570064 is a wasteful number, since it uses less digits than its factorization.

2914570064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17028 (or 17022 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 2914570064 is about 53986.7582282915. The cubic root of 2914570064 is about 1428.4273816434.

The spelling of 2914570064 in words is "two billion, nine hundred fourteen million, five hundred seventy thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 53 56 58 106 112 116 203 212 232 371 406 424 464 742 812 848 1484 1537 1624 2968 3074 3248 5936 6148 10759 12296 16931 21518 24592 33862 43036 67724 86072 118517 135448 172144 237034 270896 474068 490999 897343 948136 981998 1794686 1896272 1963996 3436993 3589372 3927992 6281401 6873986 7178744 7855984 12562802 13747972 14357488 25125604 26022947 27495944 50251208 52045894 54991888 100502416 104091788 182160629 208183576 364321258 416367152 728642516 1457285032 2914570064