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3081036966 = 2372947107503
BaseRepresentation
bin1011011110100100…
…1110010010100110
321221201111220011020
42313221032102212
522302221140331
61225421152010
7136231245030
oct26751162246
97851456136
103081036966
11134118a747
1271b9bb606
133a14188c7
1421329cc50
1513074ec96
hexb7a4e4a6

3081036966 has 128 divisors (see below), whose sum is σ = 7524679680. Its totient is φ = 822444672.

The previous prime is 3081036911. The next prime is 3081036997. The reversal of 3081036966 is 6696301803.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6125071 + ... + 6125573.

It is an arithmetic number, because the mean of its divisors is an integer number (58786560).

Almost surely, 23081036966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3081036966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762339840).

3081036966 is an abundant number, since it is smaller than the sum of its proper divisors (4443642714).

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

3081036966 is a wasteful number, since it uses less digits than its factorization.

3081036966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3081036966 is about 55507.0893310035. The cubic root of 3081036966 is about 1455.1205351189.

It can be divided in two parts, 30810 and 36966, that added together give a palindrome (67776).

The spelling of 3081036966 in words is "three billion, eighty-one million, thirty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 29 42 47 58 87 94 107 141 174 203 214 282 321 329 406 503 609 642 658 749 987 1006 1218 1363 1498 1509 1974 2247 2726 3018 3103 3521 4089 4494 5029 6206 7042 8178 9309 9541 10058 10563 14587 15087 18618 19082 21126 21721 23641 28623 29174 30174 35203 43442 43761 47282 53821 57246 65163 70406 70923 87522 102109 105609 107642 130326 141846 145841 161463 165487 204218 211218 291682 306327 322926 330974 376747 437523 496461 612654 685589 753494 875046 992922 1020887 1130241 1371178 1560809 2041774 2056767 2260482 2529587 3062661 3121618 4113534 4682427 4799123 5059174 6125322 7588761 9364854 9598246 10925663 14397369 15177522 17707109 21851326 28794738 32776989 35414218 53121327 65553978 73358023 106242654 146716046 220074069 440148138 513506161 1027012322 1540518483 3081036966