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30146126616 = 2333433245707
BaseRepresentation
bin11100000100110110…
…010110001100011000
32212210221020220102000
4130010312112030120
5443214402022431
621503212041000
72115022563654
oct340466261430
985727226360
1030146126616
111186a780131
125a13a63160
132ac5738c58
14165da05a64
15bb68909e6
hex704d96318

30146126616 has 64 divisors (see below), whose sum is σ = 85686691200. Its totient is φ = 9815014944.

The previous prime is 30146126587. The next prime is 30146126653. The reversal of 30146126616 is 61662164103.

It is a happy number.

30146126616 is a `hidden beast` number, since 3 + 0 + 14 + 6 + 1 + 26 + 616 = 666.

It is a super-2 number, since 2×301461266162 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1613566 + ... + 1632141.

It is an arithmetic number, because the mean of its divisors is an integer number (1338854550).

Almost surely, 230146126616 is an apocalyptic number.

30146126616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30146126616 is an abundant number, since it is smaller than the sum of its proper divisors (55540564584).

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

30146126616 is a wasteful number, since it uses less digits than its factorization.

30146126616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245765 (or 3245755 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30146126616 in words is "thirty billion, one hundred forty-six million, one hundred twenty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 3245707 6491414 9737121 12982828 19474242 25965656 29211363 38948484 58422726 77896968 87634089 116845452 139565401 175268178 233690904 279130802 350536356 418696203 558261604 701072712 837392406 1116523208 1256088609 1674784812 2512177218 3349569624 3768265827 5024354436 7536531654 10048708872 15073063308 30146126616