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42212211564 = 223311093732791
BaseRepresentation
bin100111010100000010…
…110011101101101100
311000221211201112021010
4213110002303231230
51142422311232224
631220402105220
73023025610125
oct472402635554
9130854645233
1042212211564
11169a1769366
12822094b210
133c9949b2a3
14208630704c
151170d16e29
hex9d40b3b6c

42212211564 has 96 divisors (see below), whose sum is σ = 102917140480. Its totient is φ = 13450924800.

The previous prime is 42212211541. The next prime is 42212211599. The reversal of 42212211564 is 46511221224.

42212211564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15123009 + ... + 15125799.

Almost surely, 242212211564 is an apocalyptic number.

It is an amenable number.

42212211564 is an abundant number, since it is smaller than the sum of its proper divisors (60704928916).

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

42212211564 is a wasteful number, since it uses less digits than its factorization.

42212211564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3309 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 42212211564 its reverse (46511221224), we get a palindrome (88723432788).

The spelling of 42212211564 in words is "forty-two billion, two hundred twelve million, two hundred eleven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 31 62 93 109 124 186 218 327 372 373 436 654 746 1119 1308 1492 2238 2791 3379 4476 5582 6758 8373 10137 11164 11563 13516 16746 20274 23126 33492 34689 40548 40657 46252 69378 81314 86521 121971 138756 162628 173042 243942 259563 304219 346084 487884 519126 608438 912657 1038252 1041043 1216876 1260367 1825314 2082086 2520734 3123129 3650628 3781101 4164172 5041468 6246258 7562202 9430789 12492516 15124404 18861578 28292367 32272333 37723156 56584734 64544666 96816999 113169468 113473687 129089332 193633998 226947374 340421061 387267996 453894748 680842122 1361684244 3517684297 7035368594 10553052891 14070737188 21106105782 42212211564