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30244299156864 = 273713172149193
BaseRepresentation
bin1101110000001110011001…
…01101010010110110000000
310222002022211012122210000000
412320013030231102312000
512431010311041004424
6144154012250000000
76241035633066102
oct670071455226600
9128068735583000
1030244299156864
1197005984524a1
12348566a716000
1313b50433c6480
14767b909c3572
15376acc39e3c9
hex1b81ccb52d80

30244299156864 has 1536 divisors, whose sum is σ = 104610053520000. Its totient is φ = 8654671577088.

The previous prime is 30244299156809. The next prime is 30244299156871. The reversal of 30244299156864 is 46865199244203.

30244299156864 is a `hidden beast` number, since 3 + 0 + 2 + 4 + 4 + 2 + 9 + 9 + 1 + 568 + 64 = 666.

It is a super-2 number, since 2×302442991568642 (a number of 28 digits) contains 22 as substring.

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, 156706213152 + ... + 156706213344.

Almost surely, 230244299156864 is an apocalyptic number.

30244299156864 is a gapful number since it is divisible by the number (34) 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 30244299156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52305026760000).

30244299156864 is an abundant number, since it is smaller than the sum of its proper divisors (74365754363136).

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

30244299156864 is a wasteful number, since it uses less digits than its factorization.

30244299156864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 30244299156864 in words is "thirty trillion, two hundred forty-four billion, two hundred ninety-nine million, one hundred fifty-six thousand, eight hundred sixty-four".