Search a number
-
+
148299260890560 = 26351359232006239
BaseRepresentation
bin100001101110000010011100…
…110001000000110111000000
3201110002021022110210022122220
4201232002130301000313000
5123414213341241444220
61243223423454331040
743144160634640653
oct4156023461006700
9643067273708586
10148299260890560
11432863aa68992a
12147714824b9a80
136499738c7c9a0
142889a1887389a
15122290dcb5540
hex86e09cc40dc0

148299260890560 has 224 divisors, whose sum is σ = 507155258910720. Its totient is φ = 36498252091392.

The previous prime is 148299260890537. The next prime is 148299260890589. The reversal of 148299260890560 is 65098062992841.

It is a super-2 number, since 2×1482992608905602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72915921 + ... + 74922159.

It is an arithmetic number, because the mean of its divisors is an integer number (2264085977280).

Almost surely, 2148299260890560 is an apocalyptic number.

148299260890560 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 148299260890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253577629455360).

148299260890560 is an abundant number, since it is smaller than the sum of its proper divisors (358855998020160).

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

148299260890560 is a wasteful number, since it uses less digits than its factorization.

148299260890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012195 (or 2012185 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 148299260890560 in words is "one hundred forty-eight trillion, two hundred ninety-nine billion, two hundred sixty million, eight hundred ninety thousand, five hundred sixty".