Search a number
-
+
672240098880 = 2635573139839
BaseRepresentation
bin10011100100001001010…
…00011101111001000000
32101021011120100022100000
421302010220131321000
542003221431131010
61232453422200000
766365510363130
oct11620450357100
92337146308300
10672240098880
1123a106013059
12aa34ba23000
134b51320604c
14247725b4ac0
1512746e6b7c0
hex9c84a1de40

672240098880 has 672 divisors, whose sum is σ = 2828887326720. Its totient is φ = 148694538240.

The previous prime is 672240098867. The next prime is 672240098891. The reversal of 672240098880 is 88890042276.

672240098880 is a `hidden beast` number, since 6 + 72 + 2 + 400 + 98 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16854001 + ... + 16893839.

It is an arithmetic number, because the mean of its divisors is an integer number (4209653760).

Almost surely, 2672240098880 is an apocalyptic number.

672240098880 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 672240098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414443663360).

672240098880 is an abundant number, since it is smaller than the sum of its proper divisors (2156647227840).

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

672240098880 is a wasteful number, since it uses less digits than its factorization.

672240098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39909 (or 39887 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 672240098880 in words is "six hundred seventy-two billion, two hundred forty million, ninety-eight thousand, eight hundred eighty".