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23003628480 = 263357232719
BaseRepresentation
bin10101011011000111…
…111000001111000000
32012101011101101221000
4111123013320033000
5334102412102410
614322343332000
71443023421150
oct253307701700
965334341830
1023003628480
119834a48608
12455ba51000
132227a5c8b1
141183194760
158e97c9dc0
hex55b1f83c0

23003628480 has 672 divisors, whose sum is σ = 97087334400. Its totient is φ = 5022369792.

The previous prime is 23003628463. The next prime is 23003628511. The reversal of 23003628480 is 8482630032.

23003628480 is a `hidden beast` number, since 23 + 0 + 0 + 3 + 628 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×230036284802 (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31993561 + ... + 31994279.

It is an arithmetic number, because the mean of its divisors is an integer number (144475200).

Almost surely, 223003628480 is an apocalyptic number.

23003628480 is a gapful number since it is divisible by the number (20) 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 23003628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48543667200).

23003628480 is an abundant number, since it is smaller than the sum of its proper divisors (74083705920).

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

23003628480 is a wasteful number, since it uses less digits than its factorization.

23003628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 23003628480 in words is "twenty-three billion, three million, six hundred twenty-eight thousand, four hundred eighty".