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9930917216 = 2511237103673
BaseRepresentation
bin10010011111110110…
…11100010101100000
3221122002202212100202
421033323130111200
5130314303322331
64321234004332
7501045255263
oct111773342540
927562685322
109930917216
114236820100
121b11a166a8
13c235b029c
146a2cdccda
153d1cb3ecb
hex24fedc560

9930917216 has 144 divisors (see below), whose sum is σ = 22318706592. Its totient is φ = 4342947840.

The previous prime is 9930917197. The next prime is 9930917219. The reversal of 9930917216 is 6127190399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930917219) 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, 14755856 + ... + 14756528.

It is an arithmetic number, because the mean of its divisors is an integer number (154991018).

Almost surely, 29930917216 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 9930917216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11159353296).

9930917216 is an abundant number, since it is smaller than the sum of its proper divisors (12387789376).

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

9930917216 is a wasteful number, since it uses less digits than its factorization.

9930917216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 47.

The square root of 9930917216 is about 99653.9874565990. The cubic root of 9930917216 is about 2149.4620767820.

The spelling of 9930917216 in words is "nine billion, nine hundred thirty million, nine hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 103 121 148 176 206 242 296 352 407 412 484 592 673 814 824 968 1133 1184 1346 1628 1648 1936 2266 2692 3256 3296 3811 3872 4477 4532 5384 6512 7403 7622 8954 9064 10768 12463 13024 14806 15244 17908 18128 21536 24901 24926 29612 30488 35816 36256 41921 49802 49852 59224 60976 69319 71632 81433 83842 99604 99704 118448 121952 138638 143264 162866 167684 199208 199408 236896 273911 277276 325732 335368 398416 398816 461131 547822 554552 651464 670736 762509 796832 922262 1095644 1109104 1302928 1341472 1525018 1844524 2191288 2218208 2564803 2605856 3013021 3050036 3689048 4382576 5129606 6026042 6100072 7378096 8387599 8765152 10259212 12052084 12200144 14756192 16775198 20518424 24104168 24400288 28212833 33550396 41036848 48208336 56425666 67100792 82073696 96416672 112851332 134201584 225702664 268403168 310341163 451405328 620682326 902810656 1241364652 2482729304 4965458608 9930917216