Search a number
-
+
259137000150 = 2352717137105967
BaseRepresentation
bin1111000101010111000…
…1001101001011010110
3220202212200222120000020
43301111301031023112
513221203033001100
6315013525130010
724502441105110
oct3612561151326
9822780876006
10259137000150
119a999098746
1242280559906
131b58a038c62
14c7840ca3b0
156b1a0585a0
hex3c55c4d2d6

259137000150 has 192 divisors, whose sum is σ = 783356147712. Its totient is φ = 55339683840.

The previous prime is 259137000127. The next prime is 259137000181. The reversal of 259137000150 is 51000731952.

It is a super-2 number, since 2×2591370001502 (a number of 24 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 95 ways as a sum of consecutive naturals, for example, 2392467 + ... + 2498433.

It is an arithmetic number, because the mean of its divisors is an integer number (4079979936).

Almost surely, 2259137000150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259137000150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391678073856).

259137000150 is an abundant number, since it is smaller than the sum of its proper divisors (524219147562).

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

259137000150 is a wasteful number, since it uses less digits than its factorization.

259137000150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106143 (or 106138 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The spelling of 259137000150 in words is "two hundred fifty-nine billion, one hundred thirty-seven million, one hundred fifty", and thus it is an aban number.