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14498918190 = 23557975527
BaseRepresentation
bin11011000000011001…
…11110111100101110
31101102110021100200000
431200030332330232
5214143210340230
610354414045130
71022203525341
oct154014767456
941373240600
1014498918190
116170296919
1229877a97a6
1314a0aa5743
149b786a458
1559cd35b60
hex36033ef2e

14498918190 has 96 divisors (see below), whose sum is σ = 39588756480. Its totient is φ = 3817386144.

The previous prime is 14498918179. The next prime is 14498918201. The reversal of 14498918190 is 9181989441.

14498918190 is a `hidden beast` number, since 1 + 449 + 8 + 9 + 1 + 8 + 190 = 666.

14498918190 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14498918179) and next prime (14498918201).

It is a super-2 number, since 2×144989181902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154207 + ... + 229733.

It is an arithmetic number, because the mean of its divisors is an integer number (412382880).

Almost surely, 214498918190 is an apocalyptic number.

14498918190 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 14498918190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19794378240).

14498918190 is an abundant number, since it is smaller than the sum of its proper divisors (25089838290).

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

14498918190 is an equidigital number, since it uses as much as digits as its factorization.

14498918190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75628 (or 75616 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 14498918190 in words is "fourteen billion, four hundred ninety-eight million, nine hundred eighteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 243 270 395 405 474 486 711 790 810 1185 1215 1422 2133 2370 2430 3555 4266 6399 7110 10665 12798 19197 21330 31995 38394 63990 75527 95985 151054 191970 226581 377635 453162 679743 755270 1132905 1359486 2039229 2265810 3398715 4078458 5966633 6117687 6797430 10196145 11933266 12235374 17899899 18353061 20392290 29833165 30588435 35799798 36706122 53699697 59666330 61176870 89499495 91765305 107399394 161099091 178998990 183530610 268498485 322198182 483297273 536996970 805495455 966594546 1449891819 1610990910 2416486365 2899783638 4832972730 7249459095 14498918190