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472252042368 = 27341723972
BaseRepresentation
bin1101101111101000110…
…10100100110010000000
31200010222001112102020000
412313310122210302000
530214133010323433
61000541040120000
746055563061601
oct6676432446200
91603861472200
10472252042368
1117230aa6a207
1277638306000
13356c1509232
1418bddd21da8
15c43eaa6113
hex6df46a4c80

472252042368 has 360 divisors, whose sum is σ = 1496718937395. Its totient is φ = 147784310784.

The previous prime is 472252042289. The next prime is 472252042373. The reversal of 472252042368 is 863240252274.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

472252042368 is a `hidden beast` number, since 4 + 7 + 22 + 520 + 42 + 3 + 68 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 426555284544 + 45696757824 = 653112^2 + 213768^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=485928.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1189551546 + ... + 1189551942.

Almost surely, 2472252042368 is an apocalyptic number.

472252042368 is a gapful number since it is divisible by the number (48) 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 472252042368

472252042368 is an abundant number, since it is smaller than the sum of its proper divisors (1024466895027).

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

472252042368 is an frugal number, since it uses more digits than its factorization.

472252042368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 419 counting only the distinct ones).

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

The spelling of 472252042368 in words is "four hundred seventy-two billion, two hundred fifty-two million, forty-two thousand, three hundred sixty-eight".