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1058368668808 = 231143299993263
BaseRepresentation
bin11110110011010111011…
…00000100010010001000
310202011211112101000112111
433121223230010102020
5114320014334400213
62130112521352104
7136315235152063
oct17315354042210
93664745330474
101058368668808
11378940581760
12151151638634
1378a5aa700a9
14393223ab8da
151c7e5b7ba3d
hexf66bb04488

1058368668808 has 64 divisors (see below), whose sum is σ = 2215952640000. Its totient is φ = 469727119680.

The previous prime is 1058368668787. The next prime is 1058368668821. The reversal of 1058368668808 is 8088668638501.

It is a super-2 number, since 2×10583686688082 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its 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, 11301585 + ... + 11394847.

It is an arithmetic number, because the mean of its divisors is an integer number (34624260000).

Almost surely, 21058368668808 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 1058368668808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107976320000).

1058368668808 is an abundant number, since it is smaller than the sum of its proper divisors (1157583971192).

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

1058368668808 is a wasteful number, since it uses less digits than its factorization.

1058368668808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96322 (or 96318 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 67.

The spelling of 1058368668808 in words is "one trillion, fifty-eight billion, three hundred sixty-eight million, six hundred sixty-eight thousand, eight hundred eight".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1892 2999 3784 5998 11996 23992 32989 65978 93263 128957 131956 186526 257914 263912 373052 515828 746104 1025893 1031656 1418527 2051786 2837054 4010309 4103572 5674108 8020618 8207144 11348216 16041236 32082472 44113399 88226798 176453596 279695737 352907192 559391474 1118782948 2237565896 3076653107 6153306214 12026916691 12306612428 24053833382 24613224856 48107666764 96215333528 132296083601 264592167202 529184334404 1058368668808