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14926244148 = 22323719956311
BaseRepresentation
bin11011110011010110…
…00110100100110100
31102112020100202200100
431321223012210310
5221032104303043
610505041114100
71035612660534
oct157153064464
942466322610
1014926244148
11636a526172
122a86928930
13153b493b3a
14a185054c4
155c55e5cd3
hex379ac6934

14926244148 has 72 divisors (see below), whose sum is σ = 38945379200. Its totient is φ = 4816532160.

The previous prime is 14926244131. The next prime is 14926244159. The reversal of 14926244148 is 84144262941.

14926244148 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 624 + 4 + 14 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236913 + ... + 293223.

Almost surely, 214926244148 is an apocalyptic number.

14926244148 is a gapful number since it is divisible by the number (18) 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 14926244148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19472689600).

14926244148 is an abundant number, since it is smaller than the sum of its proper divisors (24019135052).

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

14926244148 is a wasteful number, since it uses less digits than its factorization.

14926244148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56557 (or 56552 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 14926244148 in words is "fourteen billion, nine hundred twenty-six million, two hundred forty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 199 222 333 398 444 597 666 796 1194 1332 1791 2388 3582 7164 7363 14726 22089 29452 44178 56311 66267 88356 112622 132534 168933 225244 265068 337866 506799 675732 1013598 2027196 2083507 4167014 6250521 8334028 11205889 12501042 18751563 22411778 25002084 33617667 37503126 44823556 67235334 75006252 100853001 134470668 201706002 403412004 414617893 829235786 1243853679 1658471572 2487707358 3731561037 4975414716 7463122074 14926244148