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42133553364 = 2237322944701
BaseRepresentation
bin100111001111010110…
…110000000011010100
311000202100201021111110
4213033112300003110
51142242142201424
631204512135020
73021052203000
oct471726600324
9130670637443
1042133553364
1116961324291
1281ba537470
133c860ba886
142079aad700
151168e7ac29
hex9cf5b00d4

42133553364 has 96 divisors (see below), whose sum is σ = 115152352000. Its totient is φ = 11985321600.

The previous prime is 42133553353. The next prime is 42133553369. The reversal of 42133553364 is 46335533124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133553369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920214 + ... + 964914.

Almost surely, 242133553364 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 42133553364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576176000).

42133553364 is an abundant number, since it is smaller than the sum of its proper divisors (73018798636).

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

42133553364 is a wasteful number, since it uses less digits than its factorization.

42133553364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44958 (or 44942 counting only the distinct ones).

The product of its digits is 388800, while the sum is 39.

The spelling of 42133553364 in words is "forty-two billion, one hundred thirty-three million, five hundred fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 229 294 343 458 588 686 687 916 1029 1372 1374 1603 2058 2748 3206 4116 4809 6412 9618 11221 19236 22442 33663 44701 44884 67326 78547 89402 134103 134652 157094 178804 235641 268206 312907 314188 471282 536412 625814 938721 942564 1251628 1877442 2190349 3754884 4380698 6571047 8761396 10236529 13142094 15332443 20473058 26284188 30664886 30709587 40946116 45997329 61329772 61419174 71655703 91994658 122838348 143311406 183989316 214967109 286622812 429934218 501589921 859868436 1003179842 1504769763 2006359684 3009539526 3511129447 6019079052 7022258894 10533388341 14044517788 21066776682 42133553364