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42749892234 = 2337647174799
BaseRepresentation
bin100111110100000101…
…111001011010001010
311002100022110112111000
4213310011321122022
51200022433022414
631350010315430
73042245042220
oct476405713212
9132308415430
1042749892234
1117148221855
128350a28b76
1340539b732a
1420d78aab10
1511a3124b09
hex9f417968a

42749892234 has 64 divisors (see below), whose sum is σ = 108739584000. Its totient is φ = 12195306864.

The previous prime is 42749892187. The next prime is 42749892239. The reversal of 42749892234 is 43229894724.

42749892234 is a `hidden beast` number, since 42 + 7 + 498 + 92 + 23 + 4 = 666.

42749892234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×427498922342 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42749892239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157167 + ... + 331965.

It is an arithmetic number, because the mean of its divisors is an integer number (1699056000).

Almost surely, 242749892234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42749892234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54369792000).

42749892234 is an abundant number, since it is smaller than the sum of its proper divisors (65989691766).

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

42749892234 is a wasteful number, since it uses less digits than its factorization.

42749892234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175464 (or 175458 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 42749892234 in words is "forty-two billion, seven hundred forty-nine million, eight hundred ninety-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 647 1294 1941 3882 4529 5823 9058 11646 13587 17469 27174 34938 40761 81522 122283 174799 244566 349598 524397 1048794 1223593 1573191 2447186 3146382 3670779 4719573 7341558 9439146 11012337 22024674 33037011 66074022 113094953 226189906 339284859 678569718 791664671 1017854577 1583329342 2035709154 2374994013 3053563731 4749988026 6107127462 7124982039 14249964078 21374946117 42749892234