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3663023364 = 223371113311093
BaseRepresentation
bin1101101001010101…
…0100110100000100
3100110021121212102000
43122111110310010
530000213221424
61403251145300
7156526120260
oct33225246404
910407555360
103663023364
11160a754740
128628a5230
13464b78260
1426a6b70a0
151668b03c9
hexda554d04

3663023364 has 384 divisors, whose sum is σ = 13174210560. Its totient is φ = 849139200.

The previous prime is 3663023359. The next prime is 3663023387. The reversal of 3663023364 is 4633203663.

3663023364 is a `hidden beast` number, since 366 + 3 + 0 + 233 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3350802 + ... + 3351894.

It is an arithmetic number, because the mean of its divisors is an integer number (34307840).

Almost surely, 23663023364 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 3663023364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587105280).

3663023364 is an abundant number, since it is smaller than the sum of its proper divisors (9511187196).

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

3663023364 is a wasteful number, since it uses less digits than its factorization.

3663023364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

The square root of 3663023364 is about 60522.9160236022. The cubic root of 3663023364 is about 1541.5107685057.

The spelling of 3663023364 in words is "three billion, six hundred sixty-three million, twenty-three thousand, three hundred sixty-four".