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381869664 = 25311536823
BaseRepresentation
bin10110110000101…
…101111001100000
3222121112222200220
4112300231321200
51240224312124
6101520443040
712314560431
oct2660557140
9877488626
10381869664
11186612370
12a7a79480
13611641a7
1438a05488
15237d1879
hex16c2de60

381869664 has 96 divisors (see below), whose sum is σ = 1114331904. Its totient is φ = 113518080.

The previous prime is 381869639. The next prime is 381869669. The reversal of 381869664 is 466968183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381869669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52557 + ... + 59379.

It is an arithmetic number, because the mean of its divisors is an integer number (11607624).

Almost surely, 2381869664 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 381869664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557165952).

381869664 is an abundant number, since it is smaller than the sum of its proper divisors (732462240).

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

381869664 is a wasteful number, since it uses less digits than its factorization.

381869664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900 (or 6892 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 381869664 is about 19541.4857162909. The cubic root of 381869664 is about 725.5016197195.

The spelling of 381869664 in words is "three hundred eighty-one million, eight hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6823 6996 9328 13646 13992 18656 20469 27292 27984 40938 54584 55968 75053 81876 109168 150106 163752 218336 225159 300212 327504 361619 450318 600424 655008 723238 900636 1084857 1200848 1446476 1801272 2169714 2401696 2892952 3602544 3977809 4339428 5785904 7205088 7955618 8678856 11571808 11933427 15911236 17357712 23866854 31822472 34715424 47733708 63644944 95467416 127289888 190934832 381869664