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3058114496 = 261729103941
BaseRepresentation
bin1011011001000111…
…0001111111000000
321220010101022102212
42312101301333000
522230334130441
61223242001252
7135532354463
oct26621617700
97803338385
103058114496
11132a253758
127141a6228
13399751208
142102132da
1512d722eeb
hexb6471fc0

3058114496 has 112 divisors (see below), whose sum is σ = 6718645440. Its totient is φ = 1374535680.

The previous prime is 3058114489. The next prime is 3058114571. The reversal of 3058114496 is 6944118503.

3058114496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249386 + ... + 3250326.

Almost surely, 23058114496 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 3058114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359322720).

3058114496 is an abundant number, since it is smaller than the sum of its proper divisors (3660530944).

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

3058114496 is a wasteful number, since it uses less digits than its factorization.

3058114496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 3058114496 is about 55300.2214823774. The cubic root of 3058114496 is about 1451.5029198516.

The spelling of 3058114496 in words is "three billion, fifty-eight million, one hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 103 116 136 206 232 272 412 464 493 544 824 928 941 986 1088 1648 1751 1856 1882 1972 2987 3296 3502 3764 3944 5974 6592 7004 7528 7888 11948 14008 15056 15776 15997 23896 27289 28016 30112 31552 31994 47792 50779 54578 56032 60224 63988 95584 96923 101558 109156 112064 127976 191168 193846 203116 218312 255952 387692 406232 436624 463913 511904 775384 812464 873248 927826 1023808 1550768 1624928 1647691 1746496 1855652 2810767 3101536 3249856 3295382 3711304 5621534 6203072 6590764 7422608 11243068 13181528 14845216 22486136 26363056 29690432 44972272 47783039 52726112 89944544 95566078 105452224 179889088 191132156 382264312 764528624 1529057248 3058114496