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5655021984 = 25321719313753
BaseRepresentation
bin1010100010001000…
…01100100110100000
3112121002220212210200
411101010030212200
543040141200414
62333050425200
7260064615363
oct52104144640
915532825720
105655021984
112442126797
121119a32200
136c1780671
143b908c0da
152316e2109
hex15110c9a0

5655021984 has 576 divisors, whose sum is σ = 19360373760. Its totient is φ = 1552711680.

The previous prime is 5655021979. The next prime is 5655021991. The reversal of 5655021984 is 4891205565.

5655021984 is a `hidden beast` number, since 5 + 6 + 550 + 2 + 1 + 98 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106698502 + ... + 106698554.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 25655021984 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 5655021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680186880).

5655021984 is an abundant number, since it is smaller than the sum of its proper divisors (13705351776).

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

5655021984 is a wasteful number, since it uses less digits than its factorization.

5655021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5655021984 is about 75199.8802126706. The cubic root of 5655021984 is about 1781.6050396847.

The spelling of 5655021984 in words is "five billion, six hundred fifty-five million, twenty-one thousand, nine hundred eighty-four".