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249594495942 = 231119478741579
BaseRepresentation
bin1110100001110011111…
…1011100001111000110
3212212020200002010010110
43220130333130033012
513042132142332232
6310355004133450
724014120132121
oct3503477341706
9785220063113
10249594495942
119694164a030
1240458837286
131a6c907126c
14c11aa173b8
15675c419acc
hex3a1cfdc3c6

249594495942 has 64 divisors (see below), whose sum is σ = 573364915200. Its totient is φ = 71637230880.

The previous prime is 249594495911. The next prime is 249594495967.

It is a happy number.

249594495942 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5982109 + ... + 6023687.

It is an arithmetic number, because the mean of its divisors is an integer number (8958826800).

Almost surely, 2249594495942 is an apocalyptic number.

249594495942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

249594495942 is an abundant number, since it is smaller than the sum of its proper divisors (323770419258).

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

249594495942 is a wasteful number, since it uses less digits than its factorization.

249594495942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46401.

The product of its digits is 167961600, while the sum is 66.

The spelling of 249594495942 in words is "two hundred forty-nine billion, five hundred ninety-four million, four hundred ninety-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 4787 9574 14361 28722 41579 52657 83158 90953 105314 124737 157971 181906 249474 272859 315942 457369 545718 790001 914738 1000483 1372107 1580002 2000966 2370003 2744214 3001449 4740006 6002898 8690011 17380022 26070033 52140066 199038673 398077346 597116019 1194232038 2189425403 3781734787 4378850806 6568276209 7563469574 11345204361 13136552418 22690408722 41599082657 83198165314 124797247971 249594495942