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42332366556 = 22331572779013
BaseRepresentation
bin100111011011001101…
…001010011011011100
311001021012211000221000
4213123031022123130
51143144041212211
631240333310300
73026015115204
oct473315123334
9131235730830
1042332366556
1116a53576607
128255035390
133cb834a90c
142098263404
15117b64d656
hex9db34a6dc

42332366556 has 96 divisors (see below), whose sum is σ = 110860662080. Its totient is φ = 13968744192.

The previous prime is 42332366521. The next prime is 42332366581. The reversal of 42332366556 is 65566323324.

42332366556 is a `hidden beast` number, since 4 + 2 + 3 + 32 + 3 + 66 + 556 = 666.

It is a super-2 number, since 2×423323665562 (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 31 ways as a sum of consecutive naturals, for example, 4692306 + ... + 4701318.

Almost surely, 242332366556 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 42332366556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55430331040).

42332366556 is an abundant number, since it is smaller than the sum of its proper divisors (68528295524).

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

42332366556 is a wasteful number, since it uses less digits than its factorization.

42332366556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9452 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

The spelling of 42332366556 in words is "forty-two billion, three hundred thirty-two million, three hundred sixty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 277 314 471 554 628 831 942 1108 1413 1662 1884 2493 2826 3324 4239 4986 5652 7479 8478 9013 9972 14958 16956 18026 27039 29916 36052 43489 54078 81117 86978 108156 130467 162234 173956 243351 260934 324468 391401 486702 521868 782802 973404 1174203 1415041 1565604 2348406 2496601 2830082 4245123 4696812 4993202 5660164 7489803 8490246 9986404 12735369 14979606 16980492 22469409 25470738 29959212 38206107 44938818 50941476 67408227 76412214 89877636 134816454 152824428 269632908 391966357 783932714 1175899071 1567865428 2351798142 3527697213 4703596284 7055394426 10583091639 14110788852 21166183278 42332366556