Search a number
-
+
156880967233536 = 21232713217613469
BaseRepresentation
bin100011101010111010110010…
…010100101111000000000000
3202120110200012100021201021200
4203222322302110233000000
5131030314210102433121
61313354042120221200
745021163421202210
oct4352726224570000
9676420170251250
10156880967233536
1145a94932141347
12157186ba60a800
13696ca724b4100
142aa5117968240
151320c79a35a26
hex8eaeb252f000

156880967233536 has 1872 divisors, whose sum is σ = 603691449042240. Its totient is φ = 38291940311040.

The previous prime is 156880967233513. The next prime is 156880967233649. The reversal of 156880967233536 is 635332769088651.

156880967233536 is a `hidden beast` number, since 1 + 5 + 6 + 8 + 8 + 0 + 9 + 67 + 23 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-3 number, since 3×1568809672335363 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 143 ways as a sum of consecutive naturals, for example, 45223684410 + ... + 45223687878.

It is an arithmetic number, because the mean of its divisors is an integer number (322484748420).

Almost surely, 2156880967233536 is an apocalyptic number.

156880967233536 is a gapful number since it is divisible by the number (16) 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 156880967233536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301845724521120).

156880967233536 is an abundant number, since it is smaller than the sum of its proper divisors (446810481808704).

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

156880967233536 is a wasteful number, since it uses less digits than its factorization.

156880967233536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 156880967233536 in words is "one hundred fifty-six trillion, eight hundred eighty billion, nine hundred sixty-seven million, two hundred thirty-three thousand, five hundred thirty-six".