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996603264 = 27351792
BaseRepresentation
bin111011011001101…
…111010110000000
32120110021200200000
4323121233112000
54020112301024
6242520400000
733460662606
oct7331572600
92513250600
10996603264
11471613868
12239916000
1312b61b097
1496505876
155c75ecc9
hex3b66f580

996603264 has 144 divisors (see below), whose sum is σ = 2990753220. Its totient is φ = 330345216.

The previous prime is 996603263. The next prime is 996603269. The reversal of 996603264 is 462306699.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996603263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5567527 + ... + 5567705.

Almost surely, 2996603264 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 996603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495376610).

996603264 is an abundant number, since it is smaller than the sum of its proper divisors (1994149956).

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

996603264 is an frugal number, since it uses more digits than its factorization.

996603264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 996603264 is about 31569.0238049896. The cubic root of 996603264 is about 998.8664702625.

The spelling of 996603264 in words is "nine hundred ninety-six million, six hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 179 192 216 243 288 324 358 384 432 486 537 576 648 716 864 972 1074 1152 1296 1432 1611 1728 1944 2148 2592 2864 3222 3456 3888 4296 4833 5184 5728 6444 7776 8592 9666 10368 11456 12888 14499 15552 17184 19332 22912 25776 28998 31104 32041 34368 38664 43497 51552 57996 64082 68736 77328 86994 96123 103104 115992 128164 154656 173988 192246 206208 231984 256328 288369 309312 347976 384492 463968 512656 576738 618624 695952 768984 865107 927936 1025312 1153476 1391904 1537968 1730214 1855872 2050624 2306952 2595321 2783808 3075936 3460428 4101248 4613904 5190642 5567616 6151872 6920856 7785963 9227808 10381284 12303744 13841712 15571926 18455616 20762568 27683424 31143852 36911232 41525136 55366848 62287704 83050272 110733696 124575408 166100544 249150816 332201088 498301632 996603264