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2472886164 = 2237175573109
BaseRepresentation
bin1001001101100101…
…0011111110010100
320101100011122002110
42103121103332110
520031024324124
61045214311020
7115165120440
oct22331237624
96340148073
102472886164
111059974a81
125901b8470
13305428068
141965d3820
15e7172029
hex93653f94

2472886164 has 96 divisors (see below), whose sum is σ = 6997052160. Its totient is φ = 663570432.

The previous prime is 2472886159. The next prime is 2472886201. The reversal of 2472886164 is 4616882742.

It is a super-2 number, since 2×24728861642 = 12230331960205269792, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 793842 + ... + 796950.

It is an arithmetic number, because the mean of its divisors is an integer number (72885960).

Almost surely, 22472886164 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 2472886164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498526080).

2472886164 is an abundant number, since it is smaller than the sum of its proper divisors (4524165996).

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

2472886164 is a wasteful number, since it uses less digits than its factorization.

2472886164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3695 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 2472886164 is about 49728.1224660654. The cubic root of 2472886164 is about 1352.2844109772.

The spelling of 2472886164 in words is "two billion, four hundred seventy-two million, eight hundred eighty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 557 714 1114 1428 1671 2228 3109 3342 3899 6218 6684 7798 9327 9469 11697 12436 15596 18654 18938 21763 23394 28407 37308 37876 43526 46788 52853 56814 65289 66283 87052 105706 113628 130578 132566 158559 198849 211412 261156 265132 317118 369971 397698 634236 739942 795396 1109913 1479884 1731713 2219826 3463426 4439652 5195139 6926852 10390278 12121991 20780556 24243982 29439121 36365973 48487964 58878242 72731946 88317363 117756484 145463892 176634726 206073847 353269452 412147694 618221541 824295388 1236443082 2472886164