Search a number
-
+
4960336122 = 2327432114339
BaseRepresentation
bin1001001111010100…
…01011100011111010
3110210200202011221200
410213222023203322
540124321223442
62140113115030
7233631106230
oct44752134372
913720664850
104960336122
112115a86a45
12b65258a76
13610882041
14350ad8950
151e071e34c
hex127a8b8fa

4960336122 has 96 divisors (see below), whose sum is σ = 12630858240. Its totient is φ = 1377401760.

The previous prime is 4960336103. The next prime is 4960336123. The reversal of 4960336122 is 2216330694.

4960336122 is a `hidden beast` number, since 4 + 9 + 6 + 0 + 33 + 612 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4960336123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141029 + ... + 1145367.

It is an arithmetic number, because the mean of its divisors is an integer number (131571440).

Almost surely, 24960336122 is an apocalyptic number.

4960336122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4960336122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315429120).

4960336122 is an abundant number, since it is smaller than the sum of its proper divisors (7670522118).

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

4960336122 is a wasteful number, since it uses less digits than its factorization.

4960336122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4960336122 is about 70429.6537120551. The cubic root of 4960336122 is about 1705.4423188866.

The spelling of 4960336122 in words is "four billion, nine hundred sixty million, three hundred thirty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 211 258 301 387 422 602 633 774 903 1266 1477 1806 1899 2709 2954 3798 4339 4431 5418 8678 8862 9073 13017 13293 18146 26034 26586 27219 30373 39051 54438 60746 63511 78102 81657 91119 127022 163314 182238 186577 190533 273357 373154 381066 546714 559731 571599 915529 1119462 1143198 1306039 1679193 1831058 2612078 2746587 3358386 3918117 5493174 6408703 7836234 8239761 11754351 12817406 16479522 19226109 23508702 38452218 39367747 57678327 78735494 115356654 118103241 236206482 275574229 354309723 551148458 708619446 826722687 1653445374 2480168061 4960336122