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64380096612 = 223213537333541
BaseRepresentation
bin111011111101010110…
…100101000001100100
320011011202111202201200
4323331112211001210
52023322301042422
645324212522500
74436253535446
oct737526450144
9204152452650
1064380096612
1125337982517
1210588920430
1360c0041a30
14318a4aa496
151a1c0592ac
hexefd5a5064

64380096612 has 144 divisors (see below), whose sum is σ = 178857767088. Its totient is φ = 19403504640.

The previous prime is 64380096611. The next prime is 64380096631. The reversal of 64380096612 is 21669008346.

It can be written as a sum of positive squares in 8 ways, for example, as 2465718336 + 61914378276 = 49656^2 + 248826^2 .

It is not an unprimeable number, because it can be changed into a prime (64380096611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18179562 + ... + 18183102.

It is an arithmetic number, because the mean of its divisors is an integer number (1242067827).

Almost surely, 264380096612 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 64380096612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89428883544).

64380096612 is an abundant number, since it is smaller than the sum of its proper divisors (114477670476).

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

64380096612 is a wasteful number, since it uses less digits than its factorization.

64380096612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 64380096612 in words is "sixty-four billion, three hundred eighty million, ninety-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 733 954 1378 1466 1908 2067 2199 2756 2932 3541 4134 4398 6201 6597 7082 8268 8796 9529 10623 12402 13194 14164 19058 21246 24804 26388 28587 31869 38116 38849 42492 46033 57174 63738 77698 85761 92066 114348 116547 127476 138099 155396 171522 184132 187673 233094 276198 343044 349641 375346 414297 466188 505037 552396 563019 699282 750692 828594 1010074 1126038 1398564 1515111 1657188 1689057 2020148 2252076 2439749 2595553 3030222 3378114 4545333 4879498 5191106 6060444 6756228 7319247 7786659 9090666 9758996 10382212 14638494 15573318 18181332 21957741 23359977 29276988 31146636 33742189 43915482 46719954 67484378 87830964 93439908 101226567 134968756 137564309 202453134 275128618 303679701 404906268 412692927 550257236 607359402 825385854 1214718804 1238078781 1650771708 1788336017 2476157562 3576672034 4952315124 5365008051 7153344068 10730016102 16095024153 21460032204 32190048306 64380096612