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23669508960 = 253455993049
BaseRepresentation
bin10110000010110100…
…000000101101100000
32021002120100122020000
4112002310000231200
5341433343241320
614512411420000
71465360335516
oct260264005540
967076318200
1023669508960
11a046903459
124706a54600
1323029b3c06
1412077aa4b6
15937eacc90
hex582d00b60

23669508960 has 240 divisors, whose sum is σ = 83700540000. Its totient is φ = 6299265024.

The previous prime is 23669508937. The next prime is 23669509009. The reversal of 23669508960 is 6980596632.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 23669508897 and 23669508906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7761516 + ... + 7764564.

It is an arithmetic number, because the mean of its divisors is an integer number (348752250).

Almost surely, 223669508960 is an apocalyptic number.

23669508960 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 23669508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41850270000).

23669508960 is an abundant number, since it is smaller than the sum of its proper divisors (60031031040).

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

23669508960 is a wasteful number, since it uses less digits than its factorization.

23669508960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 23669508960 in words is "twenty-three billion, six hundred sixty-nine million, five hundred eight thousand, nine hundred sixty".