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1059308070096 = 24350960771429
BaseRepresentation
bin11110110101000111010…
…11100110010011010000
310202021021000000112211210
433122203223212103100
5114323430331220341
62130350040140120
7136350433013253
oct17324353462320
93667230015753
101059308070096
11379282875861
12151374167640
1378b7a580943
14393b106309a
151c84d38cc16
hexf6a3ae64d0

1059308070096 has 80 divisors (see below), whose sum is σ = 2746477785600. Its totient is φ = 351823471104.

The previous prime is 1059308070017. The next prime is 1059308070097. The reversal of 1059308070096 is 6900708039501.

It is a super-2 number, since 2×10593080700962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059308070097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14794510 + ... + 14865938.

It is an arithmetic number, because the mean of its divisors is an integer number (34330972320).

Almost surely, 21059308070096 is an apocalyptic number.

1059308070096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1059308070096 is an abundant number, since it is smaller than the sum of its proper divisors (1687169715504).

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

1059308070096 is a wasteful number, since it uses less digits than its factorization.

1059308070096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72556 (or 72550 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 1059308070096 in words is "one trillion, fifty-nine billion, three hundred eight million, seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 509 607 1018 1214 1527 1821 2036 2428 3054 3642 4072 4856 6108 7284 8144 9712 12216 14568 24432 29136 71429 142858 214287 285716 308963 428574 571432 617926 857148 926889 1142864 1235852 1714296 1853778 2471704 3428592 3707556 4943408 7415112 14830224 36357361 43357403 72714722 86714806 109072083 130072209 145429444 173429612 218144166 260144418 290858888 346859224 436288332 520288836 581717776 693718448 872576664 1040577672 1745153328 2081155344 22068918127 44137836254 66206754381 88275672508 132413508762 176551345016 264827017524 353102690032 529654035048 1059308070096