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6189930874368 = 29321032127997
BaseRepresentation
bin101101000010011010010…
…1000011000011000000000
3210220202021220222122201200
41122010310220120120000
51302403434300434433
621055340500501200
71206131154210603
oct132046450303000
923822256878650
106189930874368
111a7715367551a
1283b7973aa800
1335b92856ac67
141758468b633a
15ab033447613
hex5a134a18600

6189930874368 has 360 divisors, whose sum is σ = 18199967056128. Its totient is φ = 2025156059136.

The previous prime is 6189930874363. The next prime is 6189930874397. The reversal of 6189930874368 is 8634780399816.

6189930874368 is a `hidden beast` number, since 6 + 1 + 89 + 9 + 30 + 87 + 436 + 8 = 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 = 6189930874296 and 6189930874305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6189930874363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6208556046 + ... + 6208557042.

Almost surely, 26189930874368 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 6189930874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099983528064).

6189930874368 is an abundant number, since it is smaller than the sum of its proper divisors (12010036181760).

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

6189930874368 is a wasteful number, since it uses less digits than its factorization.

6189930874368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1232 counting only the distinct ones).

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

The spelling of 6189930874368 in words is "six trillion, one hundred eighty-nine billion, nine hundred thirty million, eight hundred seventy-four thousand, three hundred sixty-eight".