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42369946074 = 235312831093
BaseRepresentation
bin100111011101011100…
…100001000111011010
311001100211112021100000
4213131130201013122
51143233201233244
631244154553430
73026652412401
oct473534410732
9131324467300
1042369946074
1116a72803665
128265738876
133cc3077811
14209d246638
15117eac3169
hex9dd7211da

42369946074 has 144 divisors (see below), whose sum is σ = 99647978976. Its totient is φ = 13490699040.

The previous prime is 42369946063. The next prime is 42369946103. The reversal of 42369946074 is 47064996324.

42369946074 is a `hidden beast` number, since 4 + 23 + 6 + 9 + 9 + 4 + 607 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42369946074.

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 71 ways as a sum of consecutive naturals, for example, 38764272 + ... + 38765364.

It is an arithmetic number, because the mean of its divisors is an integer number (691999854).

Almost surely, 242369946074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42369946074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49823989488).

42369946074 is an abundant number, since it is smaller than the sum of its proper divisors (57278032902).

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

42369946074 is a wasteful number, since it uses less digits than its factorization.

42369946074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 42369946074 in words is "forty-two billion, three hundred sixty-nine million, nine hundred forty-six thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 83 93 162 166 186 243 249 279 486 498 558 747 837 961 1093 1494 1674 1922 2186 2241 2511 2573 2883 3279 4482 5022 5146 5766 6558 6723 7533 7719 8649 9837 13446 15066 15438 17298 19674 20169 23157 25947 29511 33883 40338 46314 51894 59022 67766 69471 77841 79763 88533 90719 101649 138942 155682 159526 177066 181438 203298 208413 233523 239289 265599 272157 304947 416826 467046 478578 531198 544314 609894 625239 717867 816471 914841 1050373 1250478 1435734 1632942 1829682 2100746 2153601 2449413 2744523 2812289 3151119 4307202 4898826 5489046 5624578 6302238 6460803 7348239 8233569 8436867 9453357 12921606 14696478 16467138 16873734 18906714 19382409 22044717 25310601 28360071 38764818 44089434 50621202 56720142 75931803 85080213 87180959 151863606 170160426 174361918 227795409 255240639 261542877 455590818 510481278 523085754 683386227 784628631 1366772454 1569257262 2353885893 4707771786 7061657679 14123315358 21184973037 42369946074