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44646664644 = 22333712299091
BaseRepresentation
bin101001100101001001…
…100000100111000100
311021020111120120002000
4221211021200213010
51212414021232034
632302124545300
73140246250021
oct514511404704
9137214516060
1044646664644
1117a30972a5a
1287a00b2230
13429695aa7a
142237774548
1512648e6599
hexa652609c4

44646664644 has 96 divisors (see below), whose sum is σ = 118988822400. Its totient is φ = 14466625920.

The previous prime is 44646664633. The next prime is 44646664649.

44646664644 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44646664649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4906539 + ... + 4915629.

It is an arithmetic number, because the mean of its divisors is an integer number (1239466900).

Almost surely, 244646664644 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 44646664644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59494411200).

44646664644 is an abundant number, since it is smaller than the sum of its proper divisors (74342157756).

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

44646664644 is a wasteful number, since it uses less digits than its factorization.

44646664644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370 (or 10362 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 54.

The spelling of 44646664644 in words is "forty-four billion, six hundred forty-six million, six hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1229 1332 1998 2458 3687 3996 4916 7374 9091 11061 14748 18182 22122 27273 33183 36364 44244 45473 54546 66366 81819 90946 109092 132732 136419 163638 181892 245457 272838 327276 336367 409257 490914 545676 672734 818514 981828 1009101 1227771 1345468 1637028 2018202 2455542 3027303 4036404 4911084 6054606 9081909 11172839 12109212 18163818 22345678 33518517 36327636 44691356 67037034 100555551 134074068 201111102 301666653 402222204 413395043 603333306 826790086 1206666612 1240185129 1653580172 2480370258 3720555387 4960740516 7441110774 11161666161 14882221548 22323332322 44646664644