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23051796480 = 215365193
BaseRepresentation
bin10101011101111111…
…101000000000000000
32012111112000121000000
4111131333220000000
5334202224441410
614331224000000
71444150015506
oct253577500000
965445017000
1023051796480
11985a157979
124574000000
132234a2617b
141189732676
158edb41dc0
hex55dfe8000

23051796480 has 448 divisors, whose sum is σ = 83377034820. Its totient is φ = 6115295232.

The previous prime is 23051796473. The next prime is 23051796497. The reversal of 23051796480 is 8469715032.

23051796480 is a `hidden beast` number, since 2 + 3 + 0 + 517 + 96 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22084337664 + 967458816 = 148608^2 + 31104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119439264 + ... + 119439456.

It is a 1-persistent number, because it is pandigital, but 2⋅23051796480 = 46103592960 is not.

Almost surely, 223051796480 is an apocalyptic number.

23051796480 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 23051796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41688517410).

23051796480 is an abundant number, since it is smaller than the sum of its proper divisors (60325238340).

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

23051796480 is an frugal number, since it uses more digits than its factorization.

23051796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 203 counting only the distinct ones).

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

The spelling of 23051796480 in words is "twenty-three billion, fifty-one million, seven hundred ninety-six thousand, four hundred eighty".