Search a number
-
+
12197783520 = 253551324133
BaseRepresentation
bin10110101110000101…
…10110011111100000
31011111002021121100000
423113002312133200
5144440113033040
65334212500000
7611162310036
oct132702663740
934432247300
1012197783520
11519a37032a
12244501a600
1311c5123cb0
14839dc4556
154b5cdd130
hex2d70b67e0

12197783520 has 288 divisors, whose sum is σ = 46489034592. Its totient is φ = 3002406912.

The previous prime is 12197783519. The next prime is 12197783579. The reversal of 12197783520 is 2538779121.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 493374 + ... + 517506.

It is an arithmetic number, because the mean of its divisors is an integer number (161420259).

Almost surely, 212197783520 is an apocalyptic number.

12197783520 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 12197783520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23244517296).

12197783520 is an abundant number, since it is smaller than the sum of its proper divisors (34291251072).

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

12197783520 is a wasteful number, since it uses less digits than its factorization.

12197783520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24176 (or 24156 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 12197783520 in words is "twelve billion, one hundred ninety-seven million, seven hundred eighty-three thousand, five hundred twenty".