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472109262240 = 253571123147797
BaseRepresentation
bin1101101111010111110…
…01111010010110100000
31200010121002212102201010
412313223321322112200
530213334432342430
61000514535540520
746052210342160
oct6675371722640
91603532772633
10472109262240
11172247409400
12775b852a740
133569aa67655
1418bc8d965a0
15c4322a0cb0
hex6debe7a5a0

472109262240 has 1152 divisors, whose sum is σ = 1971911983104. Its totient is φ = 92799590400.

The previous prime is 472109262217. The next prime is 472109262281. The reversal of 472109262240 is 42262901274.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 592357522 + ... + 592358318.

It is an arithmetic number, because the mean of its divisors is an integer number (1711729152).

Almost surely, 2472109262240 is an apocalyptic number.

472109262240 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 472109262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985955991552).

472109262240 is an abundant number, since it is smaller than the sum of its proper divisors (1499802720864).

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

472109262240 is a wasteful number, since it uses less digits than its factorization.

472109262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 472109262240 in words is "four hundred seventy-two billion, one hundred nine million, two hundred sixty-two thousand, two hundred forty".