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2442592235949 = 3293741181102251
BaseRepresentation
bin100011100010110101110…
…101111011000110101101
322122111202110012222200020
4203202311311323012231
5310004412103022244
65110040020352353
7341320466303055
oct43426565730655
98574673188606
102442592235949
11861996703488
123354832456b9
13149449009c98
1486317600565
154380dc57d19
hex238b5d7b1ad

2442592235949 has 64 divisors (see below), whose sum is σ = 3564161153280. Its totient is φ = 1484179200000.

The previous prime is 2442592235917. The next prime is 2442592235981. The reversal of 2442592235949 is 9495322952442.

It is an interprime number because it is at equal distance from previous prime (2442592235917) and next prime (2442592235981).

It is not a de Polignac number, because 2442592235949 - 25 = 2442592235917 is a prime.

It is a super-2 number, since 2×24425922359492 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2442592235892 and 2442592235901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442592235999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23837074 + ... + 23939324.

It is an arithmetic number, because the mean of its divisors is an integer number (55690018020).

Almost surely, 22442592235949 is an apocalyptic number.

2442592235949 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2442592235949 is a deficient number, since it is larger than the sum of its proper divisors (1121568917331).

2442592235949 is a wasteful number, since it uses less digits than its factorization.

2442592235949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102542.

The product of its digits is 55987200, while the sum is 60.

The spelling of 2442592235949 in words is "two trillion, four hundred forty-two billion, five hundred ninety-two million, two hundred thirty-five thousand, nine hundred forty-nine".

Divisors: 1 3 29 37 41 87 111 123 181 543 1073 1189 1517 3219 3567 4551 5249 6697 7421 15747 20091 22263 43993 102251 131979 194213 215209 274577 306753 582639 645627 823731 2965279 3783287 4192291 7962733 8895837 11349861 12576873 18507431 23888199 55522293 109715323 121576439 155114767 329145969 364729317 465344301 536715499 684774947 758804671 1610146497 2054324841 2276414013 4498328243 13494984729 19858473463 22005335459 28075772827 59575420389 66016006377 84227318481 814197411983 2442592235949