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2470097664 = 28322115081
BaseRepresentation
bin1001001100111010…
…1011001100000000
320101010220221222200
42103032223030000
520024321111124
61045034433200
7115132324626
oct22316531400
96333827880
102470097664
11105833aa31
1258b292800
1330498ca68
141960a9516
15e6cc0bc9
hex933ab300

2470097664 has 108 divisors (see below), whose sum is σ = 7157061912. Its totient is φ = 819302400.

The previous prime is 2470097653. The next prime is 2470097731. The reversal of 2470097664 is 4667900742.

It is a super-2 number, since 2×24700976642 = 12202764939396513792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483604 + ... + 488684.

Almost surely, 22470097664 is an apocalyptic number.

2470097664 is a gapful number since it is divisible by the number (24) 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 2470097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578530956).

2470097664 is an abundant number, since it is smaller than the sum of its proper divisors (4686964248).

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

2470097664 is a wasteful number, since it uses less digits than its factorization.

2470097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2470097664 is about 49700.0771025559. The cubic root of 2470097664 is about 1351.7759277595.

The spelling of 2470097664 in words is "two billion, four hundred seventy million, ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 256 288 384 422 576 633 768 844 1152 1266 1688 1899 2304 2532 3376 3798 5064 5081 6752 7596 10128 10162 13504 15192 15243 20256 20324 27008 30384 30486 40512 40648 45729 54016 60768 60972 81024 81296 91458 121536 121944 162048 162592 182916 243072 243888 325184 365832 486144 487776 650368 731664 975552 1072091 1300736 1463328 1951104 2144182 2926656 3216273 3902208 4288364 5853312 6432546 8576728 9648819 11706624 12865092 17153456 19297638 25730184 34306912 38595276 51460368 68613824 77190552 102920736 137227648 154381104 205841472 274455296 308762208 411682944 617524416 823365888 1235048832 2470097664