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1058434061568 = 28313195579633
BaseRepresentation
bin11110110011011111001…
…01100001010100000000
310202012000002102022112120
433121233211201110000
5114320133104432233
62130123215124240
7136316661036402
oct17315745412400
93665002368476
101058434061568
11378974486264
1215116b513680
1378a6b487830
143932ad50b72
151c7eb7974b3
hexf66f961500

1058434061568 has 144 divisors (see below), whose sum is σ = 3193336130880. Its totient is φ = 308531331072.

The previous prime is 1058434061551. The next prime is 1058434061603. The reversal of 1058434061568 is 8651604348501.

It is a happy number.

It is a super-2 number, since 2×10584340615682 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1058434061568.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2600121 + ... + 2979512.

Almost surely, 21058434061568 is an apocalyptic number.

It is an amenable number.

1058434061568 is an abundant number, since it is smaller than the sum of its proper divisors (2134902069312).

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

1058434061568 is a wasteful number, since it uses less digits than its factorization.

1058434061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579684 (or 5579670 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 1058434061568 in words is "one trillion, fifty-eight billion, four hundred thirty-four million, sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 608 624 741 768 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3328 3648 3952 4864 4992 5928 7296 7904 9984 11856 14592 15808 23712 31616 47424 63232 94848 189696 5579633 11159266 16738899 22318532 33477798 44637064 66955596 72535229 89274128 106013027 133911192 145070458 178548256 212026054 217605687 267822384 290140916 318039081 357096512 424052108 435211374 535644768 580281832 636078162 714193024 848104216 870422748 1071289536 1160563664 1272156324 1378169351 1428386048 1696208432 1740845496 2142579072 2321127328 2544312648 2756338702 3392416864 3481690992 4134508053 4285158144 4642254656 5088625296 5512677404 6784833728 6963381984 8269016106 9284509312 10177250592 11025354808 13569667456 13926763968 16538032212 18569018624 20354501184 22050709616 27139334912 27853527936 33076064424 40709002368 44101419232 55707055872 66152128848 81418004736 88202838464 132304257696 176405676928 264608515392 352811353856 529217030784 1058434061568