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23494748160 = 211351358831
BaseRepresentation
bin10101111000011001…
…010110100000000000
32020122101111212110210
4111320121112200000
5341104123420120
614443205554120
71461136031022
oct257031264000
966571455423
1023494748160
119a6719a044
124678415940
1322a5725960
1411cc4b8012
1592798bce0
hex578656800

23494748160 has 192 divisors, whose sum is σ = 80948125440. Its totient is φ = 5783224320.

The previous prime is 23494748143. The next prime is 23494748183. The reversal of 23494748160 is 6184749432.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×234947481602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369945 + ... + 428775.

It is an arithmetic number, because the mean of its divisors is an integer number (421604820).

Almost surely, 223494748160 is an apocalyptic number.

23494748160 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 23494748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40474062720).

23494748160 is an abundant number, since it is smaller than the sum of its proper divisors (57453377280).

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

23494748160 is a wasteful number, since it uses less digits than its factorization.

23494748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58874 (or 58854 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 23494748160 in words is "twenty-three billion, four hundred ninety-four million, seven hundred forty-eight thousand, one hundred sixty".