Search a number
-
+
60030346652640 = 253357213179713229
BaseRepresentation
bin11011010011000111001110…
…11111001110101111100000
321212112211211001222012101000
431221203213133032233200
530332014122220341030
6331401321024312000
715434022644300400
oct1551434737165740
9255484731865330
1060030346652640
11181447aa774421
126896349772600
132765ab69c6ca0
1410b76acc1a800
156e17d8d53860
hex3698e77cebe0

60030346652640 has 2304 divisors, whose sum is σ = 281587328467200. Its totient is φ = 11796914110464.

The previous prime is 60030346652629. The next prime is 60030346652693. The reversal of 60030346652640 is 4625664303006.

60030346652640 is a `hidden beast` number, since 6 + 0 + 0 + 30 + 34 + 66 + 526 + 4 + 0 = 666.

It is a super-2 number, since 2×600303466526402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4537777546 + ... + 4537790774.

It is an arithmetic number, because the mean of its divisors is an integer number (122216722425).

Almost surely, 260030346652640 is an apocalyptic number.

60030346652640 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 60030346652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140793664233600).

60030346652640 is an abundant number, since it is smaller than the sum of its proper divisors (221556981814560).

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

60030346652640 is a wasteful number, since it uses less digits than its factorization.

60030346652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13394 (or 13373 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 60030346652640 in words is "sixty trillion, thirty billion, three hundred forty-six million, six hundred fifty-two thousand, six hundred forty".