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42220869012 = 22327239760289
BaseRepresentation
bin100111010100100011…
…110101010110010100
311000222110000101001100
4213110203311112110
51142432020302022
631221311430100
73023162315400
oct472443652624
9130873011040
1042220869012
11169a6641883
128223825330
133c9b20ca3a
14208751c100
1511719771ac
hex9d48f5594

42220869012 has 108 divisors (see below), whose sum is σ = 124464243540. Its totient is φ = 12032520192.

The previous prime is 42220868999. The next prime is 42220869071. The reversal of 42220869012 is 21096802224.

42220869012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10313621136 + 31907247876 = 101556^2 + 178626^2 .

It is a super-2 number, since 2×422208690122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 670164 + ... + 730452.

Almost surely, 242220869012 is an apocalyptic number.

42220869012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42220869012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62232121770).

42220869012 is an abundant number, since it is smaller than the sum of its proper divisors (82243374528).

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

42220869012 is a wasteful number, since it uses less digits than its factorization.

42220869012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60710 (or 60698 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 42220869012 in words is "forty-two billion, two hundred twenty million, eight hundred sixty-nine thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 397 441 588 794 882 1191 1588 1764 2382 2779 3573 4764 5558 7146 8337 11116 14292 16674 19453 25011 33348 38906 50022 58359 60289 77812 100044 116718 120578 175077 180867 233436 241156 350154 361734 422023 542601 700308 723468 844046 1085202 1266069 1688092 2170404 2532138 2954161 3798207 5064276 5908322 7596414 8862483 11816644 15192828 17724966 23934733 26587449 35449932 47869466 53174898 71804199 95738932 106349796 143608398 167543131 215412597 287216796 335086262 430825194 502629393 670172524 861650388 1005258786 1172801917 1507888179 2010517572 2345603834 3015776358 3518405751 4691207668 6031552716 7036811502 10555217253 14073623004 21110434506 42220869012