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9960572472 = 2334119950867
BaseRepresentation
bin10010100011011001…
…00100011000111000
3221201011120111201120
421101230210120320
5130344401304342
64324213345240
7501555316614
oct112154443070
927634514646
109960572472
114251535584
121b1b938220
13c29794386
146a6c1c344
153d46c0aec
hex251b24638

9960572472 has 64 divisors (see below), whose sum is σ = 25637472000. Its totient is φ = 3222869760.

The previous prime is 9960572471. The next prime is 9960572473. The reversal of 9960572472 is 2742750699.

It is an interprime number because it is at equal distance from previous prime (9960572471) and next prime (9960572473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960572471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170383 + ... + 221249.

It is an arithmetic number, because the mean of its divisors is an integer number (400585500).

Almost surely, 29960572472 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 9960572472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818736000).

9960572472 is an abundant number, since it is smaller than the sum of its proper divisors (15676899528).

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

9960572472 is a wasteful number, since it uses less digits than its factorization.

9960572472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51116 (or 51112 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 9960572472 is about 99802.6676597374. The cubic root of 9960572472 is about 2151.5994927979.

The spelling of 9960572472 in words is "nine billion, nine hundred sixty million, five hundred seventy-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 199 246 328 398 492 597 796 984 1194 1592 2388 4776 8159 16318 24477 32636 48954 50867 65272 97908 101734 152601 195816 203468 305202 406936 610404 1220808 2085547 4171094 6256641 8342188 10122533 12513282 16684376 20245066 25026564 30367599 40490132 50053128 60735198 80980264 121470396 242940792 415023853 830047706 1245071559 1660095412 2490143118 3320190824 4980286236 9960572472