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497347384968 = 2332743378537
BaseRepresentation
bin1110011110011000011…
…01101101011010001000
31202112201222211220111100
413033030031231122020
531122031412304333
61020251144301400
750634506010000
oct7171415553210
91675658756440
10497347384968
11181a186a6575
1280480771860
1337b90715395
141a100c07000
15ce0cd0d213
hex73cc36d688

497347384968 has 240 divisors, whose sum is σ = 1576233563580. Its totient is φ = 141660997632.

The previous prime is 497347384949. The next prime is 497347384987. The reversal of 497347384968 is 869483743794.

It is a happy number.

497347384968 is a `hidden beast` number, since 4 + 9 + 73 + 473 + 84 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (497347384949) and next prime (497347384987).

It can be written as a sum of positive squares in 2 ways, for example, as 492492361284 + 4855023684 = 701778^2 + 69678^2 .

It is a super-2 number, since 2×4973473849682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 497347384896 and 497347384905.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58253596 + ... + 58262132.

Almost surely, 2497347384968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497347384968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788116781790).

497347384968 is an abundant number, since it is smaller than the sum of its proper divisors (1078886178612).

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

497347384968 is a wasteful number, since it uses less digits than its factorization.

497347384968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914 (or 8886 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 497347384968 in words is "four hundred ninety-seven billion, three hundred forty-seven million, three hundred eighty-four thousand, nine hundred sixty-eight".