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44621212644 = 223219113577307
BaseRepresentation
bin101001100011101000…
…011010101111100100
311021011201200110111100
4221203220122233210
51212341012301034
632255415240100
73136520022651
oct514350325744
9137151613440
1044621212644
1117a18569548
128793679030
1342915b8c08
14223422ac28
15126256a099
hexa63a1abe4

44621212644 has 72 divisors (see below), whose sum is σ = 119779863840. Its totient is φ = 13966186752.

The previous prime is 44621212639. The next prime is 44621212661.

44621212644 is a `hidden beast` number, since 4 + 4 + 6 + 2 + 1 + 2 + 1 + 2 + 644 = 666.

44621212644 is nontrivially palindromic in base 10.

44621212644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 44621212599 and 44621212608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211362 + ... + 365945.

It is an arithmetic number, because the mean of its divisors is an integer number (1663609220).

Almost surely, 244621212644 is an apocalyptic number.

It is an amenable number.

44621212644 is an abundant number, since it is smaller than the sum of its proper divisors (75158651196).

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

44621212644 is a wasteful number, since it uses less digits than its factorization.

44621212644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577449 (or 577444 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 44621212644 in words is "forty-four billion, six hundred twenty-one million, two hundred twelve thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 452 678 684 1017 1356 2034 2147 4068 4294 6441 8588 12882 19323 25764 38646 77292 577307 1154614 1731921 2309228 3463842 5195763 6927684 10391526 10968833 20783052 21937666 32906499 43875332 65235691 65812998 98719497 130471382 131625996 195707073 197438994 260942764 391414146 394877988 587121219 782828292 1174242438 1239478129 2348484876 2478956258 3718434387 4957912516 7436868774 11155303161 14873737548 22310606322 44621212644