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9142697013408 = 2533710123364237
BaseRepresentation
bin1000010100001011001100…
…1101010011000010100000
31012101000220021102011222000
42011002303031103002200
52144243220413412113
631240032542444000
71632352361241360
oct205026315230240
935330807364860
109142697013408
112a0543a129372
121037aba893600
135141ca430bba
1423871a5aa9a0
1510cc51093373
hex850b33530a0

9142697013408 has 384 divisors, whose sum is σ = 30909968893440. Its totient is φ = 2575195545600.

The previous prime is 9142697013371. The next prime is 9142697013413. The reversal of 9142697013408 is 8043107962419.

9142697013408 is a `hidden beast` number, since 9 + 142 + 6 + 97 + 0 + 1 + 3 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 142295466 + ... + 142359702.

It is an arithmetic number, because the mean of its divisors is an integer number (80494710660).

Almost surely, 29142697013408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9142697013408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454984446720).

9142697013408 is an abundant number, since it is smaller than the sum of its proper divisors (21767271880032).

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

9142697013408 is a wasteful number, since it uses less digits than its factorization.

9142697013408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64597 (or 64583 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 9142697013408 in words is "nine trillion, one hundred forty-two billion, six hundred ninety-seven million, thirteen thousand, four hundred eight".