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19705437312 = 2731123435389
BaseRepresentation
bin10010010110100010…
…010001110010000000
31212212022020221012120
4102112202101302000
5310324042443222
613015203524240
71265214311361
oct222642216200
955768227176
1019705437312
1183a2229790
12399b389680
131b206619a2
14d4d129b68
157a4e8315c
hex496891c80

19705437312 has 512 divisors, whose sum is σ = 62817638400. Its totient is φ = 5412126720.

The previous prime is 19705437253. The next prime is 19705437329. The reversal of 19705437312 is 21373450791.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221409364 + ... + 221409452.

It is an arithmetic number, because the mean of its divisors is an integer number (122690700).

Almost surely, 219705437312 is an apocalyptic number.

19705437312 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 19705437312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31408819200).

19705437312 is an abundant number, since it is smaller than the sum of its proper divisors (43112201088).

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

19705437312 is a wasteful number, since it uses less digits than its factorization.

19705437312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 19705437312 in words is "nineteen billion, seven hundred five million, four hundred thirty-seven thousand, three hundred twelve".