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12065751474 = 237345712829
BaseRepresentation
bin10110011110010110…
…01100000110110010
31011010212211200102020
423033023030012302
5144202313021344
65313134532310
7605000124000
oct131713140662
934125750366
1012065751474
115131890737
122408967096
1311a397661a
14826655a70
154a940c719
hex2cf2cc1b2

12065751474 has 64 divisors (see below), whose sum is σ = 28205472000. Its totient is φ = 3439545984.

The previous prime is 12065751443. The next prime is 12065751487. The reversal of 12065751474 is 47415756021.

12065751474 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 934092 + ... + 946920.

It is an arithmetic number, because the mean of its divisors is an integer number (440710500).

Almost surely, 212065751474 is an apocalyptic number.

12065751474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12065751474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102736000).

12065751474 is an abundant number, since it is smaller than the sum of its proper divisors (16139720526).

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

12065751474 is a wasteful number, since it uses less digits than its factorization.

12065751474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13312 (or 13298 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 12065751474 in words is "twelve billion, sixty-five million, seven hundred fifty-one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 457 686 914 1029 1371 2058 2742 3199 6398 9597 12829 19194 22393 25658 38487 44786 67179 76974 89803 134358 156751 179606 269409 313502 470253 538818 628621 940506 1257242 1885863 3771726 4400347 5862853 8800694 11725706 13201041 17588559 26402082 35177118 41039971 82079942 123119913 246239826 287279797 574559594 861839391 1723678782 2010958579 4021917158 6032875737 12065751474