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996975616 = 2107132823
BaseRepresentation
bin111011011011001…
…010010000000000
32120110222121102211
4323123022100000
54020211204431
6242532351504
733464103310
oct7333122000
92513877384
10996975616
1147184859a
12239a75594
1312b71b700
14965a1440
155c7d52b1
hex3b6ca400

996975616 has 132 divisors (see below), whose sum is σ = 2469369792. Its totient is φ = 393928704.

The previous prime is 996975613. The next prime is 996975647. The reversal of 996975616 is 616579699.

It is not an unprimeable number, because it can be changed into a prime (996975613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1210981 + ... + 1211803.

Almost surely, 2996975616 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 996975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234684896).

996975616 is an abundant number, since it is smaller than the sum of its proper divisors (1472394176).

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

996975616 is a wasteful number, since it uses less digits than its factorization.

996975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 845 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 58.

The square root of 996975616 is about 31574.9206808188. The cubic root of 996975616 is about 998.9908539668.

The spelling of 996975616 in words is "nine hundred ninety-six million, nine hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 256 338 364 416 448 512 676 728 823 832 896 1024 1183 1352 1456 1646 1664 1792 2366 2704 2912 3292 3328 3584 4732 5408 5761 5824 6584 6656 7168 9464 10699 10816 11522 11648 13168 13312 18928 21398 21632 23044 23296 26336 37856 42796 43264 46088 46592 52672 74893 75712 85592 86528 92176 93184 105344 139087 149786 151424 171184 173056 184352 210688 278174 299572 302848 342368 368704 421376 556348 599144 605696 684736 737408 842752 973609 1112696 1198288 1211392 1369472 1474816 1947218 2225392 2396576 2738944 2949632 3894436 4450784 4793152 5477888 5899264 7788872 8901568 9586304 10955776 15577744 17803136 19172608 31155488 35606272 38345216 62310976 71212544 76690432 124621952 142425088 249243904 498487808 996975616