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20147642424 = 233272132711621
BaseRepresentation
bin10010110000111001…
…001010000000111000
31221000010100021120200
4102300321022000320
5312230244024144
613131121522200
71312164064200
oct226071120070
957003307520
1020147642424
1185a9900a58
123aa34a3360
131b9115c710
14d91b59400
157cdbd1c69
hex4b0e4a038

20147642424 has 288 divisors, whose sum is σ = 68652642240. Its totient is φ = 5290790400.

The previous prime is 20147642399. The next prime is 20147642443. The reversal of 20147642424 is 42424674102.

20147642424 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 7 + 642 + 4 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12428334 + ... + 12429954.

It is an arithmetic number, because the mean of its divisors is an integer number (238377230).

Almost surely, 220147642424 is an apocalyptic number.

20147642424 is a gapful number since it is divisible by the number (24) 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 20147642424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34326321120).

20147642424 is an abundant number, since it is smaller than the sum of its proper divisors (48504999816).

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

20147642424 is a wasteful number, since it uses less digits than its factorization.

20147642424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 20147642424 in words is "twenty billion, one hundred forty-seven million, six hundred forty-two thousand, four hundred twenty-four".