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9199452487680 = 21632572135983
BaseRepresentation
bin1000010111011110101000…
…0110010000000000000000
31012120110101122212000010200
42011313222012100000000
52201210434314101210
631322100425325200
71636432002641400
oct205675206200000
935513348760120
109199452487680
112a27514111204
121046aba036800
1351967392ca80
1423b3821a4800
1510e473a500c0
hex85dea190000

9199452487680 has 2448 divisors, whose sum is σ = 41118251952960. Its totient is φ = 1885096378368.

The previous prime is 9199452487679. The next prime is 9199452487699. The reversal of 9199452487680 is 867842549919.

9199452487680 is a `hidden beast` number, since 9 + 1 + 9 + 94 + 52 + 487 + 6 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9199452487599 and 9199452487608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110836776919 + ... + 110836777001.

Almost surely, 29199452487680 is an apocalyptic number.

9199452487680 is a gapful number since it is divisible by the number (90) 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 9199452487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559125976480).

9199452487680 is an abundant number, since it is smaller than the sum of its proper divisors (31918799465280).

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

9199452487680 is a wasteful number, since it uses less digits than its factorization.

9199452487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 9199452487680 in words is "nine trillion, one hundred ninety-nine billion, four hundred fifty-two million, four hundred eighty-seven thousand, six hundred eighty".