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2669066424864 = 25367193532437
BaseRepresentation
bin100110110101110000110…
…000011001001000100000
3100110011022211100211000000
4212311300300121020200
5322212222001043424
65402052512300000
7363555645165240
oct46656060311040
910404284324000
102669066424864
11939a43461654
12371348b41600
131648cc0b84a8
149327d76db20
15496664eb3c9
hex26d70c19220

2669066424864 has 672 divisors, whose sum is σ = 9508623626880. Its totient is φ = 720111845376.

The previous prime is 2669066424833. The next prime is 2669066424919. The reversal of 2669066424864 is 4684246609662.

2669066424864 is a `hidden beast` number, since 2 + 6 + 6 + 90 + 6 + 64 + 2 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1095225054 + ... + 1095227490.

It is an arithmetic number, because the mean of its divisors is an integer number (14149737540).

Almost surely, 22669066424864 is an apocalyptic number.

2669066424864 is a gapful number since it is divisible by the number (24) 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 2669066424864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754311813440).

2669066424864 is an abundant number, since it is smaller than the sum of its proper divisors (6839557202016).

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

2669066424864 is a wasteful number, since it uses less digits than its factorization.

2669066424864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 2669066424864 in words is "two trillion, six hundred sixty-nine billion, sixty-six million, four hundred twenty-four thousand, eight hundred sixty-four".