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9770117728 = 257316192273
BaseRepresentation
bin10010001100101100…
…00010101001100000
3221012220012101221011
421012112002221200
5130002122231403
64253251310304
7464053426150
oct110626025140
927186171834
109770117728
114163a82068
121a87bab394
13bc919c967
14689802760
153c2aeea6d
hex246582a60

9770117728 has 96 divisors (see below), whose sum is σ = 22738544640. Its totient is φ = 4043796480.

The previous prime is 9770117683. The next prime is 9770117729. The reversal of 9770117728 is 8277110779.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9770117729) 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, 4297200 + ... + 4299472.

It is an arithmetic number, because the mean of its divisors is an integer number (236859840).

Almost surely, 29770117728 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 9770117728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369272320).

9770117728 is an abundant number, since it is smaller than the sum of its proper divisors (12968426912).

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

9770117728 is a wasteful number, since it uses less digits than its factorization.

9770117728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 49.

The square root of 9770117728 is about 98843.9058718341. The cubic root of 9770117728 is about 2137.7976679164.

The spelling of 9770117728 in words is "nine billion, seven hundred seventy million, one hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 619 868 992 1238 1736 2273 2476 3472 4333 4546 4952 6944 8666 9092 9904 15911 17332 18184 19189 19808 31822 34664 36368 38378 63644 69328 70463 72736 76756 127288 134323 138656 140926 153512 254576 268646 281852 307024 493241 509152 537292 563704 614048 986482 1074584 1127408 1406987 1972964 2149168 2254816 2813974 3945928 4298336 5627948 7891856 9848909 11255896 15783712 19697818 22511792 39395636 43616597 45023584 78791272 87233194 157582544 174466388 305316179 315165088 348932776 610632358 697865552 1221264716 1395731104 2442529432 4885058864 9770117728