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3666002368 = 267531031499
BaseRepresentation
bin1101101010000010…
…1100000111000000
3100110111020012211111
43122200230013000
530001444033433
61403435053104
7156563335360
oct33240540700
910414205744
103666002368
1116113a9926
128638a1194
1346567c192
1426ac509a0
15166c9cdcd
hexda82c1c0

3666002368 has 112 divisors (see below), whose sum is σ = 8558784000. Its totient is φ = 1525515264.

The previous prime is 3666002357. The next prime is 3666002399. The reversal of 3666002368 is 8632006663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 3666002368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2444883 + ... + 2446381.

Almost surely, 23666002368 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 3666002368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279392000).

3666002368 is an abundant number, since it is smaller than the sum of its proper divisors (4892781632).

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

3666002368 is a wasteful number, since it uses less digits than its factorization.

3666002368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 3666002368 is about 60547.5215677735. The cubic root of 3666002368 is about 1541.9285401996.

The spelling of 3666002368 in words is "three billion, six hundred sixty-six million, two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 103 106 112 206 212 224 371 412 424 448 721 742 824 848 1442 1484 1499 1648 1696 2884 2968 2998 3296 3392 5459 5768 5936 5996 6592 10493 10918 11536 11872 11992 20986 21836 23072 23744 23984 38213 41972 43672 46144 47968 76426 79447 83944 87344 95936 152852 154397 158894 167888 174688 305704 308794 317788 335776 349376 556129 611408 617588 635576 671552 1080779 1112258 1222816 1235176 1271152 2161558 2224516 2445632 2470352 2542304 4323116 4449032 4940704 5084608 8183041 8646232 8898064 9881408 16366082 17292464 17796128 32732164 34584928 35592256 57281287 65464328 69169856 114562574 130928656 229125148 261857312 458250296 523714624 916500592 1833001184 3666002368