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3058122477728 = 252973107421891
BaseRepresentation
bin101100100000000110010…
…011011101000010100000
3101211100112210222001211102
4230200012103131002200
5400101013323241403
610300514305533532
7433641061110653
oct54400623350240
911740483861742
103058122477728
11a79a4046053a
124148270442a8
131924c22c6666
14a802a29389a
1554837228b88
hex2c8064dd0a0

3058122477728 has 96 divisors (see below), whose sum is σ = 6372628032960. Its totient is φ = 1442499287040.

The previous prime is 3058122477701. The next prime is 3058122477791. The reversal of 3058122477728 is 8277742218503.

It is a happy number.

It is a super-2 number, since 2×30581224777282 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

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, 7037663 + ... + 7459553.

It is an arithmetic number, because the mean of its divisors is an integer number (66381542010).

Almost surely, 23058122477728 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 3058122477728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186314016480).

3058122477728 is an abundant number, since it is smaller than the sum of its proper divisors (3314505555232).

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

3058122477728 is a wasteful number, since it uses less digits than its factorization.

3058122477728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422110 (or 422102 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 56.

The spelling of 3058122477728 in words is "three trillion, fifty-eight billion, one hundred twenty-two million, four hundred seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 73 107 116 146 214 232 292 428 464 584 856 928 1168 1712 2117 2336 3103 3424 4234 6206 7811 8468 12412 15622 16936 24824 31244 33872 49648 62488 67744 99296 124976 226519 249952 421891 453038 843782 906076 1687564 1812152 3375128 3624304 6750256 7248608 12234839 13500512 24469678 30798043 45142337 48939356 61596086 90284674 97878712 123192172 180569348 195757424 246384344 361138696 391514848 492768688 722277392 893143247 985537376 1309127773 1444554784 1786286494 2618255546 3295390601 3572572988 5236511092 6590781202 7145145976 10473022184 13181562404 14290291952 20946044368 26363124808 28580583904 41892088736 52726249616 95566327429 105452499232 191132654858 382265309716 764530619432 1529061238864 3058122477728