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23799813660 = 22355741113151
BaseRepresentation
bin10110001010100101…
…000101011000011100
32021102122112210200000
4112022211011120130
5342220223014120
614533344334300
71501532035560
oct261245053034
967378483600
1023799813660
11a103413297
124742614390
1323239a829c
14121ac096a0
1594464b990
hex58a94561c

23799813660 has 576 divisors, whose sum is σ = 89009915904. Its totient is φ = 5225472000.

The previous prime is 23799813643. The next prime is 23799813679. The reversal of 23799813660 is 6631899732.

It is a super-2 number, since 2×237998136602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23799813597 and 23799813606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157614585 + ... + 157614735.

It is an arithmetic number, because the mean of its divisors is an integer number (154531104).

Almost surely, 223799813660 is an apocalyptic number.

23799813660 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 23799813660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44504957952).

23799813660 is an abundant number, since it is smaller than the sum of its proper divisors (65210102244).

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

23799813660 is a wasteful number, since it uses less digits than its factorization.

23799813660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 23799813660 in words is "twenty-three billion, seven hundred ninety-nine million, eight hundred thirteen thousand, six hundred sixty".