Search a number
-
+
1155906112500 = 22335523433463
BaseRepresentation
bin10000110100100001010…
…111111000101111110100
311002111121002021112121000
4100310201113320233310
5122414243431100000
62243003235323300
7146340300562116
oct20644127705764
94074532245530
101155906112500
11406242958857
12168032750530
1385003330509
143dd363673b6
1520103ad5000
hex10d215f8bf4

1155906112500 has 576 divisors, whose sum is σ = 4000663941120. Its totient is φ = 287899920000.

The previous prime is 1155906112499. The next prime is 1155906112531. The reversal of 1155906112500 is 52116095511.

1155906112500 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 90 + 61 + 1 + 2 + 500 = 666.

It is a super-2 number, since 2×11559061125002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 333785769 + ... + 333789231.

It is an arithmetic number, because the mean of its divisors is an integer number (6945597120).

Almost surely, 21155906112500 is an apocalyptic number.

1155906112500 is a gapful number since it is divisible by the number (10) 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 1155906112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000331970560).

1155906112500 is an abundant number, since it is smaller than the sum of its proper divisors (2844757828620).

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

1155906112500 is a wasteful number, since it uses less digits than its factorization.

1155906112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 36.

The spelling of 1155906112500 in words is "one trillion, one hundred fifty-five billion, nine hundred six million, one hundred twelve thousand, five hundred".