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9976630048 = 2571121919373
BaseRepresentation
bin10010100101010011…
…10100101100100000
3221202021210022120121
421102221310230200
5130413004130143
64325545450024
7502141645660
oct112251645440
927667708517
109976630048
11425a602900
121b251a0914
13c2cbc71b8
146a8ddc1a0
153d5ce37ed
hex252a74b20

9976630048 has 144 divisors (see below), whose sum is σ = 25973559360. Its totient is φ = 3682229760.

The previous prime is 9976630039. The next prime is 9976630049. The reversal of 9976630048 is 8400366799.

It is a super-2 number, since 2×99766300482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9976629977 and 9976630004.

It is not an unprimeable number, because it can be changed into a prime (9976630049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505290 + ... + 524662.

It is an arithmetic number, because the mean of its divisors is an integer number (180371940).

Almost surely, 29976630048 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 9976630048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986779680).

9976630048 is an abundant number, since it is smaller than the sum of its proper divisors (15996929312).

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

9976630048 is a wasteful number, since it uses less digits than its factorization.

9976630048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19431 (or 19412 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 9976630048 is about 99883.0818907787. The cubic root of 9976630048 is about 2152.7550797614.

The spelling of 9976630048 in words is "nine billion, nine hundred seventy-six million, six hundred thirty thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 121 133 152 154 176 209 224 242 266 304 308 352 418 484 532 608 616 836 847 968 1064 1232 1463 1672 1694 1936 2128 2299 2464 2926 3344 3388 3872 4256 4598 5852 6688 6776 9196 11704 13552 16093 18392 19373 23408 27104 32186 36784 38746 46816 64372 73568 77492 128744 135611 154984 213103 257488 271222 309968 368087 426206 514976 542444 619936 736174 852412 1084888 1472348 1491721 1704824 2169776 2344133 2576609 2944696 2983442 3409648 4048957 4339552 4688266 5153218 5889392 5966884 6819296 8097914 9376532 10306436 11778784 11933768 16195828 16408931 18753064 20612872 23867536 28342699 32391656 32817862 37506128 41225744 44538527 47735072 56685398 64783312 65635724 75012256 82451488 89077054 113370796 129566624 131271448 178154108 226741592 262542896 311769689 356308216 453483184 525085792 623539378 712616432 906966368 1247078756 1425232864 2494157512 4988315024 9976630048