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499667768064 = 2833233784947
BaseRepresentation
bin1110100010101101000…
…01010001001100000000
31202202201201001120201000
413101112201101030000
531141304422034224
61021313314212000
751046142644203
oct7212641211400
91682651046630
10499667768064
111829a9479753
1280a09884000
133817037612a
141a28105d93a
15cee68a90c9
hex7456851300

499667768064 has 288 divisors, whose sum is σ = 1583539453440. Its totient is φ = 155006742528.

The previous prime is 499667768059. The next prime is 499667768099. The reversal of 499667768064 is 460867766994.

499667768064 is a `hidden beast` number, since 499 + 6 + 6 + 7 + 76 + 8 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 499667767983 and 499667768001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5839639 + ... + 5924585.

It is an arithmetic number, because the mean of its divisors is an integer number (5498400880).

Almost surely, 2499667768064 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 499667768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791769726720).

499667768064 is an abundant number, since it is smaller than the sum of its proper divisors (1083871685376).

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

499667768064 is a wasteful number, since it uses less digits than its factorization.

499667768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85032 (or 85012 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 499667768064 in words is "four hundred ninety-nine billion, six hundred sixty-seven million, seven hundred sixty-eight thousand, sixty-four".