Search a number
-
+
58156062919680 = 21035117331115161
BaseRepresentation
bin11010011100100100000110…
…11110001100110000000000
321121220122222000110102010110
431032102003132030300000
530110312104101412210
6323404305415231320
715151431311364315
oct1516220336146000
9247818860412113
1058156062919680
11175919364357a0
12663304b978540
13265b1299c220b
141050aa8944d0c
156acb8caba420
hex34e48378cc00

58156062919680 has 704 divisors, whose sum is σ = 206373123081216. Its totient is φ = 13859684352000.

The previous prime is 58156062919573. The next prime is 58156062919699. The reversal of 58156062919680 is 8691926065185.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×581560629196802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3835891300 + ... + 3835906460.

Almost surely, 258156062919680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58156062919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103186561540608).

58156062919680 is an abundant number, since it is smaller than the sum of its proper divisors (148217060161536).

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

58156062919680 is a wasteful number, since it uses less digits than its factorization.

58156062919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15584 (or 15566 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 66.

The spelling of 58156062919680 in words is "fifty-eight trillion, one hundred fifty-six billion, sixty-two million, nine hundred nineteen thousand, six hundred eighty".