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14464912608 = 253437150827
BaseRepresentation
bin11010111100010110…
…10000110011100000
31101100002021200210000
431132023100303200
5214111004200413
610351201140000
71021311504606
oct153613206340
941302250700
1014464912608
11615307aa33
12297832a600
131496a2a4b3
149b3137876
15599d6a073
hex35e2d0ce0

14464912608 has 120 divisors (see below), whose sum is σ = 43690950072. Its totient is φ = 4691291904.

The previous prime is 14464912549. The next prime is 14464912613. The reversal of 14464912608 is 80621946441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20491 + ... + 171317.

Almost surely, 214464912608 is an apocalyptic number.

14464912608 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 14464912608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21845475036).

14464912608 is an abundant number, since it is smaller than the sum of its proper divisors (29226037464).

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

14464912608 is a wasteful number, since it uses less digits than its factorization.

14464912608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150886 (or 150869 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14464912608 in words is "fourteen billion, four hundred sixty-four million, nine hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1776 1998 2592 2664 2997 3552 3996 5328 5994 7992 10656 11988 15984 23976 31968 47952 95904 150827 301654 452481 603308 904962 1206616 1357443 1809924 2413232 2714886 3619848 4072329 4826464 5429772 5580599 7239696 8144658 10859544 11161198 12216987 14479392 16289316 16741797 21719088 22322396 24433974 32578632 33483594 43438176 44644792 48867948 50225391 65157264 66967188 89289584 97735896 100450782 130314528 133934376 150676173 178579168 195471792 200901564 267868752 301352346 390943584 401803128 452028519 535737504 602704692 803606256 904057038 1205409384 1607212512 1808114076 2410818768 3616228152 4821637536 7232456304 14464912608