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472291223040 = 29395713103
BaseRepresentation
bin1101101111101101100…
…00000010011000000000
31200011001210021000000000
412313312300002120000
530214223023114130
61000545000000000
746056550105140
oct6676660023000
91604053230000
10472291223040
111723300a022a
1277649460000
13356c9676b70
1418c05200920
15c443245260
hex6df6c02600

472291223040 has 1600 divisors, whose sum is σ = 2110830898176. Its totient is φ = 98680799232.

The previous prime is 472291223011. The next prime is 472291223093. The reversal of 472291223040 is 40322192274.

It is a happy number.

472291223040 is a `hidden beast` number, since 4 + 7 + 229 + 122 + 304 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 472291222986 and 472291223004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4585351629 + ... + 4585351731.

Almost surely, 2472291223040 is an apocalyptic number.

472291223040 is a gapful number since it is divisible by the number (40) 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 472291223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055415449088).

472291223040 is an abundant number, since it is smaller than the sum of its proper divisors (1638539675136).

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

472291223040 is an frugal number, since it uses more digits than its factorization.

472291223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 472291223040 in words is "four hundred seventy-two billion, two hundred ninety-one million, two hundred twenty-three thousand, forty".