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668666752 = 2713230911
BaseRepresentation
bin100111110110110…
…000101110000000
31201121012210100021
4213312300232000
52332134314002
6150203503224
722366400515
oct4766605600
91647183307
10668666752
11313499256
12167b27b14
13a86bb600
1464b3d30c
153da83737
hex27db0b80

668666752 has 48 divisors (see below), whose sum is σ = 1442508480. Its totient is φ = 308605440.

The previous prime is 668666737. The next prime is 668666759. The reversal of 668666752 is 257666866.

It is a super-3 number, since 3×6686667523 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 668666752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668666759) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6177 + ... + 37087.

It is an arithmetic number, because the mean of its divisors is an integer number (30052260).

Almost surely, 2668666752 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 668666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721254240).

668666752 is an abundant number, since it is smaller than the sum of its proper divisors (773841728).

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

668666752 is a wasteful number, since it uses less digits than its factorization.

668666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30951 (or 30926 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The square root of 668666752 is about 25858.5914542923. The cubic root of 668666752 is about 874.4532102720.

The spelling of 668666752 in words is "six hundred sixty-eight million, six hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 10816 21632 30911 61822 123644 247288 401843 494576 803686 989152 1607372 1978304 3214744 3956608 5223959 6429488 10447918 12858976 20895836 25717952 41791672 51435904 83583344 167166688 334333376 668666752