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444701361852 = 2232111122983237
BaseRepresentation
bin1100111100010100100…
…01000100011010111100
31120111212000001211112100
412132022101010122330
524241222022034402
6540143141305100
744062054131066
oct6361221043274
91514760054470
10444701361852
11161662364160
1272229705190
1332c2070a507
1417748cd4736
15b87aee671c
hex678a4446bc

444701361852 has 36 divisors (see below), whose sum is σ = 1226297695896. Its totient is φ = 134757988320.

The previous prime is 444701361817. The next prime is 444701361857. The reversal of 444701361852 is 258163107444.

444701361852 is a `hidden beast` number, since 44 + 470 + 1 + 3 + 61 + 85 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 444701361798 and 444701361807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444701361857) 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, 561491223 + ... + 561492014.

It is an arithmetic number, because the mean of its divisors is an integer number (34063824886).

Almost surely, 2444701361852 is an apocalyptic number.

It is an amenable number.

444701361852 is an abundant number, since it is smaller than the sum of its proper divisors (781596334044).

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

444701361852 is a wasteful number, since it uses less digits than its factorization.

444701361852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122983258 (or 1122983253 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 444701361852 in words is "four hundred forty-four billion, seven hundred one million, three hundred sixty-one thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1122983237 2245966474 3368949711 4491932948 6737899422 10106849133 12352815607 13475798844 20213698266 24705631214 37058446821 40427396532 49411262428 74116893642 111175340463 148233787284 222350680926 444701361852