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19992537000 = 23325315714149
BaseRepresentation
bin10010100111101001…
…011110011110101000
31220121022111002221100
4102213221132132220
5311421042141000
613103501241400
71305301521612
oct224751363650
956538432840
1019992537000
11852a2a1a57
123a5b563260
131b67c93a67
14d79301db2
157c0294a00
hex4a7a5e7a8

19992537000 has 192 divisors, whose sum is σ = 68009994000. Its totient is φ = 5297011200.

The previous prime is 19992536989. The next prime is 19992537007. The reversal of 19992537000 is 73529991.

It is a happy number.

19992537000 is a `hidden beast` number, since 199 + 92 + 5 + 370 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2216714724 + 17775822276 = 47082^2 + 133326^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19992537007) by changing a digit.

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, 1405926 + ... + 1420074.

Almost surely, 219992537000 is an apocalyptic number.

19992537000 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 19992537000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34004997000).

19992537000 is an abundant number, since it is smaller than the sum of its proper divisors (48017457000).

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

19992537000 is a wasteful number, since it uses less digits than its factorization.

19992537000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14333 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 19992537000 in words is "nineteen billion, nine hundred ninety-two million, five hundred thirty-seven thousand".