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2996671392 = 2532111372763
BaseRepresentation
bin1011001010011101…
…1001001110100000
321201211202200100100
42302213121032200
522114121441032
61213205022400
7134155200201
oct26247311640
97654680310
102996671392
1112a85a7630
126b76b4a00
13389aba450
14205dbb5a8
1512813797c
hexb29d93a0

2996671392 has 144 divisors (see below), whose sum is σ = 10011744288. Its totient is φ = 838218240.

The previous prime is 2996671331. The next prime is 2996671397. The reversal of 2996671392 is 2931766992.

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

It is not an unprimeable number, because it can be changed into a prime (2996671397) 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, 4803 + ... + 77565.

It is an arithmetic number, because the mean of its divisors is an integer number (69526002).

Almost surely, 22996671392 is an apocalyptic number.

2996671392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996671392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005872144).

2996671392 is an abundant number, since it is smaller than the sum of its proper divisors (7015072896).

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

2996671392 is a wasteful number, since it uses less digits than its factorization.

2996671392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72803 (or 72792 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 2996671392 is about 54741.8614224982. The cubic root of 2996671392 is about 1441.7159636337.

The spelling of 2996671392 in words is "two billion, nine hundred ninety-six million, six hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 72763 145526 218289 291052 436578 582104 654867 800393 873156 945919 1164208 1309734 1600786 1746312 1891838 2328416 2401179 2619468 2837757 3201572 3492624 3783676 4802358 5238936 5675514 6403144 6985248 7203537 7567352 8513271 9604716 10405109 10477872 11351028 12806288 14407074 15134704 17026542 19209432 20810218 20955744 22702056 25612576 28814148 30269408 31215327 34053084 38418864 41620436 45404112 57628296 62430654 68106168 76837728 83240872 90808224 93645981 115256592 124861308 136212336 166481744 187291962 230513184 249722616 272424672 332963488 374583924 499445232 749167848 998890464 1498335696 2996671392