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23475624480 = 253257111931097
BaseRepresentation
bin10101110111010000…
…011001101000100000
32020121001112021201100
4111313100121220200
5341034224440410
614441244034400
71460514341610
oct256720315040
966531467640
1023475624480
119a57418150
124671b32a00
1322a178b379
1411c9b3aa40
15925e608c0
hex577419a20

23475624480 has 576 divisors, whose sum is σ = 100487132928. Its totient is φ = 4848353280.

The previous prime is 23475624443. The next prime is 23475624503. The reversal of 23475624480 is 8442657432.

It is a happy number.

23475624480 is a `hidden beast` number, since 2 + 3 + 4 + 7 + 562 + 4 + 4 + 80 = 666.

It is a super-2 number, since 2×234756244802 (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 21399292 + ... + 21400388.

It is an arithmetic number, because the mean of its divisors is an integer number (174456828).

Almost surely, 223475624480 is an apocalyptic number.

23475624480 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 23475624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50243566464).

23475624480 is an abundant number, since it is smaller than the sum of its proper divisors (77011508448).

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

23475624480 is a wasteful number, since it uses less digits than its factorization.

23475624480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 23475624480 in words is "twenty-three billion, four hundred seventy-five million, six hundred twenty-four thousand, four hundred eighty".