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9601648848 = 2433113165179
BaseRepresentation
bin10001111000100110…
…11000100011010000
3220210011012022002000
420330103120203100
5124131010230343
64224432354000
7456636445221
oct107423304320
926704168060
109601648848
114087975990
121a3b6a5900
13ba030552c
146712ab248
153b2e22ed3
hex23c4d88d0

9601648848 has 160 divisors (see below), whose sum is σ = 31036108800. Its totient is φ = 2815689600.

The previous prime is 9601648829. The next prime is 9601648853. The reversal of 9601648848 is 8488461069.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9601648794 and 9601648803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114723 + ... + 179901.

It is an arithmetic number, because the mean of its divisors is an integer number (193975680).

Almost surely, 29601648848 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 9601648848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518054400).

9601648848 is an abundant number, since it is smaller than the sum of its proper divisors (21434459952).

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

9601648848 is a wasteful number, since it uses less digits than its factorization.

9601648848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65238 (or 65226 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 9601648848 is about 97988.0035922765. The cubic root of 9601648848 is about 2125.4388093480.

The spelling of 9601648848 in words is "nine billion, six hundred one million, six hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 837 1023 1116 1188 1364 1488 1584 1674 2046 2232 2376 2728 3069 3348 4092 4464 4752 5456 6138 6696 8184 9207 12276 13392 16368 18414 24552 36828 49104 65179 73656 130358 147312 195537 260716 391074 521432 586611 716969 782148 1042864 1173222 1433938 1564296 1759833 2020549 2150907 2346444 2867876 3128592 3519666 4041098 4301814 4692888 5735752 6061647 6452721 7039332 8082196 8603628 9385776 11471504 12123294 12905442 14078664 16164392 17207256 18184941 19358163 22226039 24246588 25810884 28157328 32328784 34414512 36369882 38716326 44452078 48493176 51621768 54554823 66678117 72739764 77432652 88904156 96986352 103243536 109109646 133356234 145479528 154865304 177808312 200034351 218219292 266712468 290959056 309730608 355616624 400068702 436438584 533424936 600103053 800137404 872877168 1066849872 1200206106 1600274808 2400412212 3200549616 4800824424 9601648848