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4044711664 = 247229414339
BaseRepresentation
bin1111000100010101…
…0110011011110000
3101102212211122022201
43301011112123300
531240421233124
61505204112544
7202142324200
oct36105263360
911385748281
104044711664
111796152814
1294a695754
134c5c77a16
142a5272400
1518a158144
hexf11566f0

4044711664 has 120 divisors (see below), whose sum is σ = 9662662800. Its totient is φ = 1632476160.

The previous prime is 4044711661. The next prime is 4044711673. The reversal of 4044711664 is 4661174404.

4044711664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044711661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930007 + ... + 934345.

It is an arithmetic number, because the mean of its divisors is an integer number (80522190).

Almost surely, 24044711664 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 4044711664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831331400).

4044711664 is an abundant number, since it is smaller than the sum of its proper divisors (5617951136).

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

4044711664 is a wasteful number, since it uses less digits than its factorization.

4044711664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 4044711664 is about 63598.0476429898. The cubic root of 4044711664 is about 1593.2937620038.

The spelling of 4044711664 in words is "four billion, forty-four million, seven hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 41 49 56 58 82 98 112 116 164 196 203 232 287 328 392 406 464 574 656 784 812 1148 1189 1421 1624 2009 2296 2378 2842 3248 4018 4339 4592 4756 5684 8036 8323 8678 9512 11368 16072 16646 17356 19024 22736 30373 32144 33292 34712 58261 60746 66584 69424 116522 121492 125831 133168 177899 212611 233044 242984 251662 355798 425222 466088 485968 503324 711596 850444 880817 932176 1006648 1245293 1423192 1700888 1761634 2013296 2490586 2846384 3401776 3523268 4981172 5159071 6165719 7046536 8717051 9962344 10318142 12331438 14093072 17434102 19924688 20636284 24662876 34868204 36113497 41272568 49325752 69736408 72226994 82545136 98651504 139472816 144453988 252794479 288907976 505588958 577815952 1011177916 2022355832 4044711664