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3680377668 = 22331117182233
BaseRepresentation
bin1101101101011110…
…0001101101000100
3100111111021120001000
43123113201231010
530014134041133
61405111133300
7160126460022
oct33327415504
910444246030
103680377668
111619528240
12868674230
13468643386
1426cb13712
1516818c413
hexdb5e1b44

3680377668 has 96 divisors (see below), whose sum is σ = 11021512320. Its totient is φ = 1049656320.

The previous prime is 3680377633. The next prime is 3680377693. The reversal of 3680377668 is 8667730863.

It is a super-2 number, since 2×36803776682 = 27090359558226236448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70921 + ... + 111312.

It is an arithmetic number, because the mean of its divisors is an integer number (114807420).

Almost surely, 23680377668 is an apocalyptic number.

It is an amenable number.

3680377668 is an abundant number, since it is smaller than the sum of its proper divisors (7341134652).

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

3680377668 is a wasteful number, since it uses less digits than its factorization.

3680377668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182274 (or 182266 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3680377668 is about 60666.1163088589. The cubic root of 3680377668 is about 1543.9413390378.

The spelling of 3680377668 in words is "three billion, six hundred eighty million, three hundred seventy-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 182233 364466 546699 728932 1093398 1640097 2004563 2186796 3097961 3280194 4009126 4920291 6013689 6195922 6560388 8018252 9293883 9840582 12027378 12391844 18041067 18587766 19681164 24054756 27881649 34077571 36082134 37175532 54123201 55763298 68155142 72164268 83644947 102232713 108246402 111526596 136310284 167289894 204465426 216492804 306698139 334579788 408930852 613396278 920094417 1226792556 1840188834 3680377668