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42613133670 = 236553110291
BaseRepresentation
bin100111101011111100…
…001101000101100110
311001222210010111000000
4213223330031011212
51144232430234140
631324243202130
73035664442212
oct475374150546
9131883114000
1042613133670
1117088004048
128313076346
1340315734c3
1420c366b942
15119610da30
hex9ebf0d166

42613133670 has 112 divisors (see below), whose sum is σ = 117173779632. Its totient is φ = 11148995520.

The previous prime is 42613133669. The next prime is 42613133681. The reversal of 42613133670 is 7633131624.

42613133670 is a `hidden beast` number, since 4 + 2 + 613 + 1 + 3 + 36 + 7 + 0 = 666.

It is a super-2 number, since 2×426131336702 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 331225 + ... + 441515.

It is an arithmetic number, because the mean of its divisors is an integer number (1046194461).

Almost surely, 242613133670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42613133670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58586889816).

42613133670 is an abundant number, since it is smaller than the sum of its proper divisors (74560645962).

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

42613133670 is a wasteful number, since it uses less digits than its factorization.

42613133670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110369 (or 110354 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 42613133670 in words is "forty-two billion, six hundred thirteen million, one hundred thirty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 530 729 795 810 954 1215 1431 1458 1590 2385 2430 2862 3645 4293 4770 7155 7290 8586 12879 14310 21465 25758 38637 42930 64395 77274 110291 128790 193185 220582 330873 386370 551455 661746 992619 1102910 1654365 1985238 2977857 3308730 4963095 5845423 5955714 8933571 9926190 11690846 14889285 17536269 17867142 26800713 29227115 29778570 35072538 44667855 52608807 53601426 58454230 80402139 87681345 89335710 105217614 134003565 157826421 160804278 175362690 263044035 268007130 315652842 402010695 473479263 526088070 789132105 804021390 946958526 1420437789 1578264210 2367396315 2840875578 4261313367 4734792630 7102188945 8522626734 14204377890 21306566835 42613133670