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14809485498192 = 243371117193737253
BaseRepresentation
bin1101011110000001101000…
…0111110101011101010000
31221102202212111200221002000
43113200122013311131100
53420114311241420232
651255214514354000
73055643566511220
oct327403207653520
957382774627060
1014809485498192
11479a738532590
1217b221688b900
138356b4129038
14392ad64a8080
151aa366d1d27c
hexd781a1f5750

14809485498192 has 1280 divisors, whose sum is σ = 60666917068800. Its totient is φ = 3337016279040.

The previous prime is 14809485498179. The next prime is 14809485498217. The reversal of 14809485498192 is 29189458490841.

14809485498192 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 9 + 48 + 5 + 498 + 1 + 92 = 666.

14809485498192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 14809485498192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 397519438 + ... + 397556690.

It is an arithmetic number, because the mean of its divisors is an integer number (47396028960).

Almost surely, 214809485498192 is an apocalyptic number.

14809485498192 is a gapful number since it is divisible by the number (12) 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 14809485498192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30333458534400).

14809485498192 is an abundant number, since it is smaller than the sum of its proper divisors (45857431570608).

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

14809485498192 is a wasteful number, since it uses less digits than its factorization.

14809485498192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37361 (or 37349 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 14809485498192 in words is "fourteen trillion, eight hundred nine billion, four hundred eighty-five million, four hundred ninety-eight thousand, one hundred ninety-two".