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19132001280 = 2103357171163
BaseRepresentation
bin10001110100010110…
…110010110000000000
31211101100020100212000
4101310112302300000
5303140243020110
612442241104000
71245052220250
oct216426626000
954340210760
1019132001280
118128574807
12385b328000
131a5b907122
14cd6cd9960
1576e9611c0
hex4745b2c00

19132001280 has 704 divisors, whose sum is σ = 82346388480. Its totient is φ = 4112252928.

The previous prime is 19132001269. The next prime is 19132001333. The reversal of 19132001280 is 8210023191.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16449979 + ... + 16451141.

Almost surely, 219132001280 is an apocalyptic number.

19132001280 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 19132001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41173194240).

19132001280 is an abundant number, since it is smaller than the sum of its proper divisors (63214387200).

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

19132001280 is a wasteful number, since it uses less digits than its factorization.

19132001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 19132001280 in words is "nineteen billion, one hundred thirty-two million, one thousand, two hundred eighty".