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5334618399576 = 23317127433237767
BaseRepresentation
bin100110110100001000000…
…0010001110001101011000
3200212222120201200001201120
41031220100002032031120
51144400244302241301
615202405002045240
71060261550141244
oct115502002161530
920788521601646
105334618399576
111777443016844
12721a74aa9820
132c908b04807b
141462a845d424
1593b741d3e36
hex4da1008e358

5334618399576 has 128 divisors (see below), whose sum is σ = 14265166970880. Its totient is φ = 1656586100736.

The previous prime is 5334618399571. The next prime is 5334618399577. The reversal of 5334618399576 is 6759938164335.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5334618399576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5334618399571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22317445 + ... + 22555211.

It is an arithmetic number, because the mean of its divisors is an integer number (111446616960).

Almost surely, 25334618399576 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 5334618399576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132583485440).

5334618399576 is an abundant number, since it is smaller than the sum of its proper divisors (8930548571304).

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

5334618399576 is a wasteful number, since it uses less digits than its factorization.

5334618399576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238353 (or 238349 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 69.

The spelling of 5334618399576 in words is "five trillion, three hundred thirty-four billion, six hundred eighteen million, three hundred ninety-nine thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 204 254 381 408 433 508 762 866 1016 1299 1524 1732 2159 2598 3048 3464 4318 5196 6477 7361 8636 10392 12954 14722 17272 22083 25908 29444 44166 51816 54991 58888 88332 109982 164973 176664 219964 237767 329946 439928 475534 659892 713301 934847 951068 1319784 1426602 1869694 1902136 2804541 2853204 3739388 4042039 5609082 5706408 7478776 8084078 11218164 12126117 16168156 22436328 24252234 30196409 32336312 48504468 60392818 90589227 97008936 102953111 120785636 181178454 205906222 241571272 308859333 362356908 411812444 513338953 617718666 724713816 823624888 1026677906 1235437332 1540016859 1750202887 2053355812 2470874664 3080033718 3500405774 4106711624 5250608661 6160067436 7000811548 10501217322 12320134872 13075045097 14001623096 21002434644 26150090194 39225135291 42004869288 52300180388 78450270582 104600360776 156900541164 222275766649 313801082328 444551533298 666827299947 889103066596 1333654599894 1778206133192 2667309199788 5334618399576