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670011411264 = 2631315111231583
BaseRepresentation
bin10011011111111111100…
…10101100101101000000
32101001102020200020200020
421233333302230231000
541434140410130024
61231444325453440
766256336012446
oct11577762545500
92331366606606
10670011411264
11239171a7a068
12a9a29571280
134b24956bb90
14246005cab96
1512666484979
hex9bffcacb40

670011411264 has 224 divisors, whose sum is σ = 1924672425984. Its totient is φ = 204480460800.

The previous prime is 670011411197. The next prime is 670011411271. The reversal of 670011411264 is 462114110076.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 423253417 + ... + 423254999.

It is an arithmetic number, because the mean of its divisors is an integer number (8592287616).

Almost surely, 2670011411264 is an apocalyptic number.

670011411264 is a gapful number since it is divisible by the number (64) 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 670011411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962336212992).

670011411264 is an abundant number, since it is smaller than the sum of its proper divisors (1254661014720).

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

670011411264 is a wasteful number, since it uses less digits than its factorization.

670011411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 670011411264 in words is "six hundred seventy billion, eleven million, four hundred eleven thousand, two hundred sixty-four".