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331377663804 = 2231141459113337
BaseRepresentation
bin1001101001001111010…
…01011101111100111100
31011200100021112111120120
410310213221131330330
520412130140220204
6412122141214540
732640563444625
oct4644751357474
91150307474516
10331377663804
1111859a063560
1254281861450
1325330751895
1412078526a4c
1589472196d9
hex4d27a5df3c

331377663804 has 96 divisors (see below), whose sum is σ = 864333130752. Its totient is φ = 97939584000.

The previous prime is 331377663781. The next prime is 331377663811. The reversal of 331377663804 is 408366773133.

It is a super-2 number, since 2×3313776638042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24839824 + ... + 24853160.

It is an arithmetic number, because the mean of its divisors is an integer number (9003470112).

Almost surely, 2331377663804 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 331377663804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432166565376).

331377663804 is an abundant number, since it is smaller than the sum of its proper divisors (532955466948).

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

331377663804 is a wasteful number, since it uses less digits than its factorization.

331377663804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17987 (or 17985 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 51.

The spelling of 331377663804 in words is "three hundred thirty-one billion, three hundred seventy-seven million, six hundred sixty-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 4591 5412 9182 13337 13773 18364 26674 27546 40011 50501 53348 55092 80022 101002 146707 151503 160044 188231 202004 293414 303006 376462 440121 546817 564693 586828 606012 752924 880242 1093634 1129386 1640451 1760484 2070541 2187268 2258772 3280902 4141082 6014987 6211623 6561804 8282164 12029974 12423246 18044961 24059948 24846492 36089922 61230167 72179844 122460334 183690501 244920668 367381002 673531837 734762004 1347063674 2020595511 2510436847 2694127348 4041191022 5020873694 7531310541 8082382044 10041747388 15062621082 27614805317 30125242164 55229610634 82844415951 110459221268 165688831902 331377663804