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23457470400 = 263652713217
BaseRepresentation
bin10101110110001011…
…001001011111000000
32020112210100222000000
4111312023021133000
5341020103023100
614435355000000
71460204131350
oct256613113700
966483328000
1023457470400
119a48148781
124667a39000
13229aaa3200
1411c7572b60
15924576900
hex5762c97c0

23457470400 has 1764 divisors, whose sum is σ = 113396371632. Its totient is φ = 4658135040.

The previous prime is 23457470359. The next prime is 23457470431. The reversal of 23457470400 is 407475432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1379851192 + ... + 1379851208.

Almost surely, 223457470400 is an apocalyptic number.

23457470400 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 23457470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56698185816).

23457470400 is an abundant number, since it is smaller than the sum of its proper divisors (89938901232).

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

23457470400 is a wasteful number, since it uses less digits than its factorization.

23457470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 23457470400 in words is "twenty-three billion, four hundred fifty-seven million, four hundred seventy thousand, four hundred".