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9974966520 = 2335113735617
BaseRepresentation
bin10010100101000110…
…11110100011111000
3221202011122210122110
421102203132203320
5130412042412040
64325450052320
7502121550021
oct112243364370
927664583573
109974966520
114259676a92
121b2471a0a0
13c2c763c6c
146a8ac7c48
153d5ab5980
hex2528de8f8

9974966520 has 64 divisors (see below), whose sum is σ = 30189762720. Its totient is φ = 2636447744.

The previous prime is 9974966513. The next prime is 9974966537. The reversal of 9974966520 is 256694799.

It is a happy number.

9974966520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 354249 + ... + 381368.

Almost surely, 29974966520 is an apocalyptic number.

It is an amenable number.

9974966520 is an abundant number, since it is smaller than the sum of its proper divisors (20214796200).

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

9974966520 is a wasteful number, since it uses less digits than its factorization.

9974966520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735744 (or 735740 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The square root of 9974966520 is about 99874.7541674071. The cubic root of 9974966520 is about 2152.6354212061.

The spelling of 9974966520 in words is "nine billion, nine hundred seventy-four million, nine hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 735617 1471234 2206851 2942468 3678085 4413702 5884936 7356170 8827404 11034255 14712340 17654808 22068510 29424680 44137020 83124721 88274040 166249442 249374163 332498884 415623605 498748326 664997768 831247210 997496652 1246870815 1662494420 1994993304 2493741630 3324988840 4987483260 9974966520