Search a number
-
+
18070987963392 = 210347134635171
BaseRepresentation
bin1000001101111011110101…
…10100010111110000000000
32100222120101012222211120000
410012331322310113300000
54332033340404312032
6102233410335320000
73543404633163120
oct406757264276000
970876335884500
1018070987963392
1158379546608a1
12203a341380000
13a11118a7b640
144668d76bac80
152151040bde7c
hex106f7ad17c00

18070987963392 has 880 divisors, whose sum is σ = 66572939338752. Its totient is φ = 4754761482240.

The previous prime is 18070987963361. The next prime is 18070987963403. The reversal of 18070987963392 is 29336978907081.

18070987963392 is a `hidden beast` number, since 1 + 8 + 0 + 70 + 9 + 87 + 96 + 3 + 392 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18070987963392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3494676967 + ... + 3494682137.

Almost surely, 218070987963392 is an apocalyptic number.

18070987963392 is a gapful number since it is divisible by the number (12) 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 18070987963392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33286469669376).

18070987963392 is an abundant number, since it is smaller than the sum of its proper divisors (48501951375360).

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

18070987963392 is a wasteful number, since it uses less digits than its factorization.

18070987963392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 18070987963392 in words is "eighteen trillion, seventy billion, nine hundred eighty-seven million, nine hundred sixty-three thousand, three hundred ninety-two".