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107852930640 = 243257131646107
BaseRepresentation
bin110010001110010001…
…0010001111001010000
3101022101110022112220200
41210130202101321100
53231340322240030
6121314050335200
710535460533010
oct1443442217120
9338343275820
10107852930640
1141816193124
1218a9b88a500
13a22a73b870
145311da3c40
152c13883d60
hex191c891e50

107852930640 has 240 divisors, whose sum is σ = 445792384128. Its totient is φ = 22755769344.

The previous prime is 107852930639. The next prime is 107852930641. The reversal of 107852930640 is 46039258701.

107852930640 is a `hidden beast` number, since 10 + 78 + 529 + 3 + 0 + 6 + 40 = 666.

107852930640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107852930639) and next prime (107852930641).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107852930641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757534 + ... + 888573.

It is a 1-persistent number, because it is pandigital, but 2⋅107852930640 = 215705861280 is not.

Almost surely, 2107852930640 is an apocalyptic number.

107852930640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107852930640 is an abundant number, since it is smaller than the sum of its proper divisors (337939453488).

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

107852930640 is a wasteful number, since it uses less digits than its factorization.

107852930640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646146 (or 1646137 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 107852930640 in words is "one hundred seven billion, eight hundred fifty-two million, nine hundred thirty thousand, six hundred forty".