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2996407216 = 2411217181503
BaseRepresentation
bin1011001010011001…
…1000101110110000
321201211021020222001
42302212120232300
522114040012331
61213155223344
7134153020045
oct26246305660
97654236861
102996407216
1112a8437100
126b75a7b54
13389a2712a
14205d4d1cc
151280d4561
hexb2998bb0

2996407216 has 120 divisors (see below), whose sum is σ = 6807501792. Its totient is φ = 1272268800.

The previous prime is 2996407187. The next prime is 2996407241. The reversal of 2996407216 is 6127046992.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5956821 + ... + 5957323.

Almost surely, 22996407216 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 2996407216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403750896).

2996407216 is an abundant number, since it is smaller than the sum of its proper divisors (3811094576).

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

2996407216 is a wasteful number, since it uses less digits than its factorization.

2996407216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 2996407216 is about 54739.4484444263. The cubic root of 2996407216 is about 1441.6735968541.

The spelling of 2996407216 in words is "two billion, nine hundred ninety-six million, four hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 181 187 242 272 362 374 484 503 724 748 968 1006 1448 1496 1936 1991 2012 2057 2896 2992 3077 3982 4024 4114 5533 6154 7964 8048 8228 8551 11066 12308 15928 16456 17102 21901 22132 24616 31856 32912 33847 34204 43802 44264 49232 60863 67694 68408 87604 88528 91043 94061 121726 135388 136816 175208 182086 188122 243452 270776 350416 364172 372317 376244 486904 541552 728344 744634 752488 973808 1001473 1034671 1456688 1489268 1504976 1547731 2002946 2069342 2978536 3095462 4005892 4138684 5957072 6190924 8011784 8277368 11016203 12381848 16023568 16554736 17025041 22032406 24763696 34050082 44064812 68100164 88129624 136200328 176259248 187275451 272400656 374550902 749101804 1498203608 2996407216