Search a number
-
+
87813702063360 = 2835572131729231
BaseRepresentation
bin10011111101110110111000…
…100001001001010100000000
3102111220220111212210200100000
4103331312320201021110000
543002214430212011420
6510433020253200000
724332221253604300
oct2375667041112400
9374826455720300
1087813702063360
1125a86644575189
129a22a73190000
1339cca480bb4c0
1417982c4c31600
15a2438130a690
hex4fddb8849500

87813702063360 has 7776 divisors, whose sum is σ = 446804011809792. Its totient is φ = 16293439733760.

The previous prime is 87813702063317. The next prime is 87813702063361. The reversal of 87813702063360 is 6336020731878.

87813702063360 is a `hidden beast` number, since 8 + 7 + 8 + 1 + 3 + 70 + 206 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a super-2 number, since 2×878137020633602 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 87813702063297 and 87813702063306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87813702063361) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2832700066545 + ... + 2832700066575.

Almost surely, 287813702063360 is an apocalyptic number.

87813702063360 is a gapful number since it is divisible by the number (80) 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 87813702063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223402005904896).

87813702063360 is an abundant number, since it is smaller than the sum of its proper divisors (358990309746432).

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

87813702063360 is a wasteful number, since it uses less digits than its factorization.

87813702063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 87813702063360 in words is "eighty-seven trillion, eight hundred thirteen billion, seven hundred two million, sixty-three thousand, three hundred sixty".