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2042613035104 = 251949918313677
BaseRepresentation
bin11101101110010101001…
…110010111000001100000
321020021100012210022202111
4131232111032113001200
5231431232414110404
64202210302125104
7300400566220015
oct35562516270140
97207305708674
102042613035104
117182a3897874
1228ba56b80794
1311a804aa1a45
1470c120d370c
15381ee0bc104
hex1db95397060

2042613035104 has 96 divisors (see below), whose sum is σ = 4245000480000. Its totient is φ = 964824721920.

The previous prime is 2042613035101. The next prime is 2042613035119. The reversal of 2042613035104 is 4015303162402.

It is a super-2 number, since 2×20426130351042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042613035101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555508914 + ... + 555512590.

It is an arithmetic number, because the mean of its divisors is an integer number (44218755000).

Almost surely, 22042613035104 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 2042613035104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122500240000).

2042613035104 is an abundant number, since it is smaller than the sum of its proper divisors (2202387444896).

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

2042613035104 is a wasteful number, since it uses less digits than its factorization.

2042613035104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 2042613035104 its reverse (4015303162402), we get a palindrome (6057916197506).

The spelling of 2042613035104 in words is "two trillion, forty-two billion, six hundred thirteen million, thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 499 608 998 1831 1996 3662 3677 3992 7324 7354 7984 9481 14648 14708 15968 18962 29296 29416 34789 37924 58592 58832 69578 69863 75848 117664 139156 139726 151696 278312 279452 303392 556624 558904 913669 1113248 1117808 1827338 1834823 2235616 3654676 3669646 6732587 7309352 7339292 13465174 14618704 14678584 17359711 26930348 29237408 29357168 34719422 34861637 53860696 58714336 69438844 69723274 107721392 127919153 138877688 139446548 215442784 255838306 277755376 278893096 511676612 555510752 557786192 1023353224 1115572384 2046706448 3359560913 4093412896 6719121826 13438243652 26876487304 53752974608 63831657347 107505949216 127663314694 255326629388 510653258776 1021306517552 2042613035104