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9137869348608 = 2833711132195347
BaseRepresentation
bin1000010011111001001101…
…1101001101111100000000
31012100120102211022101212000
42010332103131031330000
52144203324023123413
631233513525104000
71632121630620030
oct204762335157400
935316384271760
109137869348608
112a03392029350
121036b91b58000
1351390b1c1500
142383bd3698c0
1510ca6c32e073
hex84f9374df00

9137869348608 has 1728 divisors, whose sum is σ = 38408257843200. Its totient is φ = 2075199160320.

The previous prime is 9137869348499. The next prime is 9137869348633. The reversal of 9137869348608 is 8068439687319.

9137869348608 is a `hidden beast` number, since 9 + 1 + 3 + 7 + 8 + 6 + 9 + 3 + 4 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1708968591 + ... + 1708973937.

Almost surely, 29137869348608 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 9137869348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19204128921600).

9137869348608 is an abundant number, since it is smaller than the sum of its proper divisors (29270388494592).

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

9137869348608 is a wasteful number, since it uses less digits than its factorization.

9137869348608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 9137869348608 in words is "nine trillion, one hundred thirty-seven billion, eight hundred sixty-nine million, three hundred forty-eight thousand, six hundred eight".