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3999008964 = 2231941617013
BaseRepresentation
bin1110111001011100…
…0000100011000100
3101022200211201000010
43232113000203010
531142221241324
61500452350220
7201046005156
oct35627004304
911280751003
103999008964
111772377695
12937315370
134b96655c2
1429d176ad6
1518612b829
hexee5c08c4

3999008964 has 96 divisors (see below), whose sum is σ = 10228095360. Its totient is φ = 1211673600.

The previous prime is 3999008963. The next prime is 3999008999. The reversal of 3999008964 is 4698009993.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (3999008963) 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, 566722 + ... + 573734.

It is an arithmetic number, because the mean of its divisors is an integer number (106542660).

Almost surely, 23999008964 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 3999008964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114047680).

3999008964 is an abundant number, since it is smaller than the sum of its proper divisors (6229086396).

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

3999008964 is a wasteful number, since it uses less digits than its factorization.

3999008964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The square root of 3999008964 is about 63237.7178905121. The cubic root of 3999008964 is about 1587.2699435074.

The spelling of 3999008964 in words is "three billion, nine hundred ninety-nine million, eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 41 57 61 76 82 114 122 123 164 183 228 244 246 366 492 732 779 1159 1558 2318 2337 2501 3116 3477 4636 4674 5002 6954 7013 7503 9348 10004 13908 14026 15006 21039 28052 30012 42078 47519 84156 95038 133247 142557 190076 266494 285114 287533 399741 427793 532988 570228 575066 799482 855586 862599 1150132 1283379 1598964 1711172 1725198 2566758 3450396 5133516 5463127 8128067 10926254 16256134 16389381 17539513 21852508 24384201 32512268 32778762 35079026 48768402 52618539 65557524 70158052 97536804 105237078 210474156 333250747 666501494 999752241 1333002988 1999504482 3999008964