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3066612516 = 22321155713903
BaseRepresentation
bin1011011011001000…
…1100101100100100
321220201101001112100
42312302030230210
522240023100031
61224144052100
7135664530162
oct26662145444
97821331470
103066612516
111334028410
12717004030
1339b438226
142113c6232
1512e350de6
hexb6c8cb24

3066612516 has 72 divisors (see below), whose sum is σ = 8472207744. Its totient is φ = 927541440.

The previous prime is 3066612499. The next prime is 3066612551. The reversal of 3066612516 is 6152166603.

It is a super-2 number, since 2×30666125162 = 18808224646575700512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213621 + ... + 227523.

It is an arithmetic number, because the mean of its divisors is an integer number (117669552).

Almost surely, 23066612516 is an apocalyptic number.

3066612516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066612516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236103872).

3066612516 is an abundant number, since it is smaller than the sum of its proper divisors (5405595228).

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

3066612516 is a wasteful number, since it uses less digits than its factorization.

3066612516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14481 (or 14476 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3066612516 is about 55377.0034942303. The cubic root of 3066612516 is about 1452.8461759528.

The spelling of 3066612516 in words is "three billion, sixty-six million, six hundred twelve thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 557 1114 1671 2228 3342 5013 6127 6684 10026 12254 13903 18381 20052 24508 27806 36762 41709 55143 55612 73524 83418 110286 125127 152933 166836 220572 250254 305866 458799 500508 611732 917598 1376397 1835196 2752794 5505588 7743971 15487942 23231913 30975884 46463826 69695739 85183681 92927652 139391478 170367362 255551043 278782956 340734724 511102086 766653129 1022204172 1533306258 3066612516