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472452977760 = 253541792291327
BaseRepresentation
bin1101110000000000110…
…01000101010001100000
31200011111001121222202120
412320000121011101200
530220040430242020
61001013014544240
746063553023221
oct6700031052140
91604431558676
10472452977760
11172403430a15
1277693668080
133572403020a
1418c1c8a9248
15c452547740
hex6e00645460

472452977760 has 384 divisors, whose sum is σ = 1551732940800. Its totient is φ = 120737710080.

The previous prime is 472452977753. The next prime is 472452977771. The reversal of 472452977760 is 67779254274.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 472452977694 and 472452977703.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 356030217 + ... + 356031543.

It is an arithmetic number, because the mean of its divisors is an integer number (4040971200).

Almost surely, 2472452977760 is an apocalyptic number.

472452977760 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 472452977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775866470400).

472452977760 is an abundant number, since it is smaller than the sum of its proper divisors (1079279963040).

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

472452977760 is a wasteful number, since it uses less digits than its factorization.

472452977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 60.

The spelling of 472452977760 in words is "four hundred seventy-two billion, four hundred fifty-two million, nine hundred seventy-seven thousand, seven hundred sixty".