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9034961616 = 24353596473
BaseRepresentation
bin10000110101000011…
…01001001011010000
3212022122212121100000
420122201221023100
5122000422232431
64052310330000
7436615622652
oct103241511320
925278777300
109034961616
11391700042a
121901959900
13b0caa1745
14619d166d2
1537d2d59e6
hex21a8692d0

9034961616 has 120 divisors (see below), whose sum is σ = 26298941760. Its totient is φ = 3002800896.

The previous prime is 9034961609. The next prime is 9034961623. The reversal of 9034961616 is 6161694309.

It is an interprime number because it is at equal distance from previous prime (9034961609) and next prime (9034961623).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1392556 + ... + 1399028.

It is an arithmetic number, because the mean of its divisors is an integer number (219157848).

Almost surely, 29034961616 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 9034961616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13149470880).

9034961616 is an abundant number, since it is smaller than the sum of its proper divisors (17263980144).

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

9034961616 is a wasteful number, since it uses less digits than its factorization.

9034961616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9034961616 is about 95052.4150981973. The cubic root of 9034961616 is about 2082.7737907289.

The spelling of 9034961616 in words is "nine billion, thirty-four million, nine hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 359 432 486 648 718 972 1077 1296 1436 1944 2154 2872 3231 3888 4308 5744 6462 6473 8616 9693 12924 12946 17232 19386 19419 25848 25892 29079 38772 38838 51696 51784 58158 58257 77544 77676 87237 103568 116316 116514 155088 155352 174474 174771 232632 233028 310704 348948 349542 465264 466056 524313 697896 699084 932112 1048626 1395792 1398168 1572939 2097252 2323807 2796336 3145878 4194504 4647614 6291756 6971421 8389008 9295228 12583512 13942842 18590456 20914263 25167024 27885684 37180912 41828526 55771368 62742789 83657052 111542736 125485578 167314104 188228367 250971156 334628208 376456734 501942312 564685101 752913468 1003884624 1129370202 1505826936 2258740404 3011653872 4517480808 9034961616