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2064443616 = 253218473881
BaseRepresentation
bin111101100001100…
…1110100011100000
312022212121121020200
41323003032203200
513211444143431
6540504105200
7102105324024
oct17303164340
95285547220
102064443616
1196a363054
12497465200
1326b91ba91
14158272384
15c1391ee6
hex7b0ce8e0

2064443616 has 72 divisors (see below), whose sum is σ = 5875453584. Its totient is φ = 687598080.

The previous prime is 2064443611. The next prime is 2064443621. The reversal of 2064443616 is 6163444602.

2064443616 is a `hidden beast` number, since 2 + 0 + 644 + 4 + 3 + 6 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2064443611) and next prime (2064443621).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064443611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529996 + ... + 533876.

It is an arithmetic number, because the mean of its divisors is an integer number (81603522).

Almost surely, 22064443616 is an apocalyptic number.

It is an amenable number.

2064443616 is an abundant number, since it is smaller than the sum of its proper divisors (3811009968).

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

2064443616 is a wasteful number, since it uses less digits than its factorization.

2064443616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2064443616 is about 45436.1487804589. The cubic root of 2064443616 is about 1273.3105633262.

The spelling of 2064443616 in words is "two billion, sixty-four million, four hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1847 3694 3881 5541 7388 7762 11082 11643 14776 15524 16623 22164 23286 29552 31048 33246 34929 44328 46572 59104 62096 66492 69858 88656 93144 124192 132984 139716 177312 186288 265968 279432 372576 531936 558864 1117728 7168207 14336414 21504621 28672828 43009242 57345656 64513863 86018484 114691312 129027726 172036968 229382624 258055452 344073936 516110904 688147872 1032221808 2064443616