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12042670950 = 234528233613
BaseRepresentation
bin10110011011100110…
…01001001101100110
31011002021102001220000
423031303021031212
5144130410432300
65310552122130
7604300004562
oct131563111546
934067361800
1012042670950
11511a856a22
122401096346
13119bc54ccb
148235686a2
154a739dc00
hex2cdcc9366

12042670950 has 120 divisors (see below), whose sum is σ = 33510713808. Its totient is φ = 3206589120.

The previous prime is 12042670907. The next prime is 12042670957. The reversal of 12042670950 is 5907624021.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042670957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3331344 + ... + 3334956.

Almost surely, 212042670950 is an apocalyptic number.

12042670950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042670950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755356904).

12042670950 is an abundant number, since it is smaller than the sum of its proper divisors (21468042858).

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

12042670950 is a wasteful number, since it uses less digits than its factorization.

12042670950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12042670950 in words is "twelve billion, forty-two million, six hundred seventy thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 823 1350 1646 2025 2469 3613 4050 4115 4938 7226 7407 8230 10839 12345 14814 18065 20575 21678 22221 24690 32517 36130 37035 41150 44442 54195 61725 65034 66663 74070 90325 97551 108390 111105 123450 133326 162585 180650 185175 195102 222210 270975 292653 325170 333315 370350 487755 541950 555525 585306 666630 812925 975510 1111050 1463265 1625850 1666575 2438775 2926530 2973499 3333150 4877550 5946998 7316325 8920497 14632650 14867495 17840994 26761491 29734990 44602485 53522982 74337475 80284473 89204970 133807455 148674950 160568946 223012425 240853419 267614910 401422365 446024850 481706838 669037275 802844730 1204267095 1338074550 2007111825 2408534190 4014223650 6021335475 12042670950