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146195642664 = 23331514482329
BaseRepresentation
bin1000100000100111110…
…0000111100100101000
3111222100121220010201000
42020021330013210220
54343402041031124
6151054503555000
713363602313311
oct2101174074450
9458317803630
10146195642664
11570016a1185
122440075ba60
1310a2b34a946
14710c407608
153c09b026c9
hex2209f07928

146195642664 has 64 divisors (see below), whose sum is σ = 408788496000. Its totient is φ = 48409142400.

The previous prime is 146195642627. The next prime is 146195642687. The reversal of 146195642664 is 466246591641.

146195642664 is a `hidden beast` number, since 1 + 4 + 6 + 19 + 564 + 2 + 6 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 146195642664.

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, 2208549 + ... + 2273780.

It is an arithmetic number, because the mean of its divisors is an integer number (6387320250).

Almost surely, 2146195642664 is an apocalyptic number.

It is an amenable number.

146195642664 is an abundant number, since it is smaller than the sum of its proper divisors (262592853336).

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

146195642664 is a wasteful number, since it uses less digits than its factorization.

146195642664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482495 (or 4482485 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 146195642664 in words is "one hundred forty-six billion, one hundred ninety-five million, six hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 302 453 604 906 1208 1359 1812 2718 3624 4077 5436 8154 10872 16308 32616 4482329 8964658 13446987 17929316 26893974 35858632 40340961 53787948 80681922 107575896 121022883 161363844 242045766 322727688 484091532 676831679 968183064 1353663358 2030495037 2707326716 4060990074 5414653432 6091485111 8121980148 12182970222 16243960296 18274455333 24365940444 36548910666 48731880888 73097821332 146195642664