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14374013760 = 26375192347
BaseRepresentation
bin11010110001100001…
…00000101101000000
31101002202020120000000
431120300200231000
5213414221420020
610334153000000
71016126046441
oct153060405500
941082216000
1014374013760
116106835317
1229519b3000
131480c523b2
149a50352c8
15591db2090
hex358c20b40

14374013760 has 896 divisors, whose sum is σ = 57585254400. Its totient is φ = 3399542784.

The previous prime is 14374013749. The next prime is 14374013767. The reversal of 14374013760 is 6731047341.

It is a super-2 number, since 2×143740137602 (a number of 21 digits) contains 22 as substring.

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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14374013767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305830057 + ... + 305830103.

Almost surely, 214374013760 is an apocalyptic number.

14374013760 is a gapful number since it is divisible by the number (10) 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 14374013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28792627200).

14374013760 is an abundant number, since it is smaller than the sum of its proper divisors (43211240640).

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

14374013760 is an equidigital number, since it uses as much as digits as its factorization.

14374013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 14374013760 in words is "fourteen billion, three hundred seventy-four million, thirteen thousand, seven hundred sixty".