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19497095424 = 283229092
BaseRepresentation
bin10010001010000111…
…100001000100000000
31212022210020001212100
4102022013201010000
5304412224023144
612542402230400
71260104401542
oct221207410400
955283201770
1019497095424
1182a5669404
123941655400
131ab9446771
14d2d5b5692
15791a2c269
hex48a1e1100

19497095424 has 81 divisors (see below), whose sum is σ = 56234263813. Its totient is φ = 6496797696.

The previous prime is 19497095419. The next prime is 19497095477. The reversal of 19497095424 is 42459079491.

The square root of 19497095424 is 139632.

It is a perfect power (a square), and thus also a powerful number.

19497095424 is a `hidden beast` number, since 1 + 9 + 4 + 97 + 0 + 9 + 542 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16908321024 + 2588774400 = 130032^2 + 50880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6700882 + ... + 6703790.

Almost surely, 219497095424 is an apocalyptic number.

19497095424 is the 139632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19497095424

19497095424 is an abundant number, since it is smaller than the sum of its proper divisors (36737168389).

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

19497095424 is an frugal number, since it uses more digits than its factorization.

19497095424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 19497095424 in words is "nineteen billion, four hundred ninety-seven million, ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2909 5818 8727 11636 17454 23272 26181 34908 46544 52362 69816 93088 104724 139632 186176 209448 279264 372352 418896 558528 744704 837792 1117056 1675584 2234112 3351168 6702336 8462281 16924562 25386843 33849124 50773686 67698248 76160529 101547372 135396496 152321058 203094744 270792992 304642116 406189488 541585984 609284232 812378976 1083171968 1218568464 1624757952 2166343936 2437136928 3249515904 4874273856 6499031808 9748547712 19497095424