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23604020496 = 243272312592
BaseRepresentation
bin10101111110111010…
…001100010100010000
32020221000010110221100
4111332322030110100
5341320112123441
614502112024400
71463633602200
oct257672142420
966830113840
1023604020496
11a012943a61
1246a8b32100
1322c2264a44
1411dcc00400
15932373cb6
hex57ee8c510

23604020496 has 405 divisors, whose sum is σ = 80770928823. Its totient is φ = 6415839360.

The previous prime is 23604020491. The next prime is 23604020501. The reversal of 23604020496 is 69402040632.

The square root of 23604020496 is 153636.

It is a perfect power (a square), and thus also a powerful number.

23604020496 is a `hidden beast` number, since 2 + 3 + 604 + 0 + 2 + 0 + 49 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (23604020491) and next prime (23604020501).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23604020496.

It is not an unprimeable number, because it can be changed into a prime (23604020491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 400068115 + ... + 400068173.

Almost surely, 223604020496 is an apocalyptic number.

23604020496 is the 153636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23604020496

23604020496 is an abundant number, since it is smaller than the sum of its proper divisors (57166908327).

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

23604020496 is a wasteful number, since it uses less digits than its factorization.

23604020496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 23604020496 by its sum of digits (36), we get a square (849744737856 = 9218162).

23604020496 divided by its sum of digits (36) gives a square (655667236 = 256062).

The spelling of 23604020496 in words is "twenty-three billion, six hundred four million, twenty thousand, four hundred ninety-six".