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3086167968 = 2532132335839
BaseRepresentation
bin1011011111110011…
…0010111110100000
321222002011120120100
42313330302332200
522310024333333
61230123142400
7136322665152
oct26774627640
97862146510
103086167968
111344074744
12721674a00
133a24c41c0
14213c36ad2
15130e15213
hexb7f32fa0

3086167968 has 144 divisors (see below), whose sum is σ = 9862594560. Its totient is φ = 908278272.

The previous prime is 3086167957. The next prime is 3086167969. The reversal of 3086167968 is 8697616803.

It is a happy number.

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 (3086167969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68193 + ... + 104031.

It is an arithmetic number, because the mean of its divisors is an integer number (68490240).

Almost surely, 23086167968 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 3086167968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931297280).

3086167968 is an abundant number, since it is smaller than the sum of its proper divisors (6776426592).

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

3086167968 is a wasteful number, since it uses less digits than its factorization.

3086167968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35891 (or 35880 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3086167968 is about 55553.2894435604. The cubic root of 3086167968 is about 1455.9278483346.

The spelling of 3086167968 in words is "three billion, eighty-six million, one hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1196 1248 1656 1794 1872 2208 2392 2691 3312 3588 3744 4784 5382 6624 7176 9568 10764 14352 21528 28704 35839 43056 71678 86112 107517 143356 215034 286712 322551 430068 465907 573424 645102 824297 860136 931814 1146848 1290204 1397721 1648594 1720272 1863628 2472891 2580408 2795442 3297188 3440544 3727256 4193163 4945782 5160816 5590884 6594376 7418673 7454512 8386326 9891564 10321632 10715861 11181768 13188752 14837346 14909024 16772652 19783128 21431722 22363536 26377504 29674692 32147583 33545304 39566256 42863444 44727072 59349384 64295166 67090608 79132512 85726888 96442749 118698768 128590332 134181216 171453776 192885498 237397536 257180664 342907552 385770996 514361328 771541992 1028722656 1543083984 3086167968