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42658062900 = 22352499284957
BaseRepresentation
bin100111101110100111…
…100110001000110100
311002002220200010022120
4213232213212020310
51144330431003100
631332530155540
73040051360215
oct475647461064
9132086603276
1042658062900
1117100401042
128326122bb0
13403a97484b
1420c960540c
15119a0360a0
hex9ee9e6234

42658062900 has 72 divisors (see below), whose sum is σ = 123671772000. Its totient is φ = 11352647040.

The previous prime is 42658062871. The next prime is 42658062911. The reversal of 42658062900 is 926085624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7222 + ... + 292178.

It is an arithmetic number, because the mean of its divisors is an integer number (1717663500).

Almost surely, 242658062900 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 42658062900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61835886000).

42658062900 is an abundant number, since it is smaller than the sum of its proper divisors (81013709100).

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

42658062900 is a wasteful number, since it uses less digits than its factorization.

42658062900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285473 (or 285466 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 42658062900 in words is "forty-two billion, six hundred fifty-eight million, sixty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 499 998 1497 1996 2495 2994 4990 5988 7485 9980 12475 14970 24950 29940 37425 49900 74850 149700 284957 569914 854871 1139828 1424785 1709742 2849570 3419484 4274355 5699140 7123925 8548710 14247850 17097420 21371775 28495700 42743550 85487100 142193543 284387086 426580629 568774172 710967715 853161258 1421935430 1706322516 2132903145 2843870860 3554838575 4265806290 7109677150 8531612580 10664515725 14219354300 21329031450 42658062900