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3869768664 = 2332713312287
BaseRepresentation
bin1110011010100111…
…1111101111011000
3100222200122121122100
43212221333233120
530411130044124
61435554323400
7164616330246
oct34651775730
910880577570
103869768664
111706424523
128bbb89560
13498954858
14289d33796
15179aed1c9
hexe6a7fbd8

3869768664 has 96 divisors (see below), whose sum is σ = 10665008640. Its totient is φ = 1267358400.

The previous prime is 3869768663. The next prime is 3869768687. The reversal of 3869768664 is 4668679683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3869768663) 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, 1690929 + ... + 1693215.

It is an arithmetic number, because the mean of its divisors is an integer number (111093840).

Almost surely, 23869768664 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 3869768664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332504320).

3869768664 is an abundant number, since it is smaller than the sum of its proper divisors (6795239976).

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

3869768664 is a wasteful number, since it uses less digits than its factorization.

3869768664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2694 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The square root of 3869768664 is about 62207.4646967709. The cubic root of 3869768664 is about 1569.9831856152.

The spelling of 3869768664 in words is "three billion, eight hundred sixty-nine million, seven hundred sixty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 331 426 568 639 662 852 993 1278 1324 1704 1986 2287 2556 2648 2979 3972 4574 5112 5958 6861 7944 9148 11916 13722 18296 20583 23501 23832 27444 41166 47002 54888 70503 82332 94004 141006 162377 164664 188008 211509 282012 324754 423018 487131 564024 649508 756997 846036 974262 1299016 1461393 1513994 1692072 1948524 2270991 2922786 3027988 3897048 4541982 5845572 6055976 6812973 9083964 11691144 13625946 18167928 27251892 53746787 54503784 107493574 161240361 214987148 322480722 429974296 483721083 644961444 967442166 1289922888 1934884332 3869768664