Search a number
-
+
673878115468800 = 29325211193314161
BaseRepresentation
bin1001100100111000110111100…
…1101100011100011000000000
310021101000010012111221221010200
42121032031321230130120000
51201311304340030000200
610345115155453325200
7261641041622432004
oct23116157154343000
93241003174857120
10673878115468800
1118579a116241410
12636b6115496800
1322c02583878c78
14bc59c366cc704
1552d91b2513800
hex264e379b1c600

673878115468800 has 5760 divisors, whose sum is σ = 2984636531036160. Its totient is φ = 143725363200000.

The previous prime is 673878115468793. The next prime is 673878115468829. The reversal of 673878115468800 is 8864511878376.

It is a happy number.

673878115468800 is a `hidden beast` number, since 6 + 7 + 3 + 8 + 7 + 81 + 1 + 5 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×6738781154688002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11047182220770 + ... + 11047182220830.

It is an arithmetic number, because the mean of its divisors is an integer number (518166064416).

Almost surely, 2673878115468800 is an apocalyptic number.

673878115468800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673878115468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492318265518080).

673878115468800 is an abundant number, since it is smaller than the sum of its proper divisors (2310758415567360).

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

673878115468800 is a wasteful number, since it uses less digits than its factorization.

673878115468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 673878115468800 in words is "six hundred seventy-three trillion, eight hundred seventy-eight billion, one hundred fifteen million, four hundred sixty-eight thousand, eight hundred".