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1058345343252 = 223423373838423
BaseRepresentation
bin11110110011010100100…
…11000101100100010100
310202011202220110221220000
433121222103011210110
5114314442401441002
62130110325411300
7136314532662411
oct17315223054424
93664686427800
101058345343252
1137892939a93a
12151145869b30
1378a55c940a2
143931d259108
151c7e3ac061c
hexf66a4c5914

1058345343252 has 120 divisors (see below), whose sum is σ = 2965044356736. Its totient is φ = 328323264192.

The previous prime is 1058345343241. The next prime is 1058345343283. The reversal of 1058345343252 is 2523435438501.

1058345343252 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 34 + 534 + 32 + 52 = 666.

It is a super-2 number, since 2×10583453432522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1058345343198 and 1058345343207.

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 39 ways as a sum of consecutive naturals, for example, 1643488 + ... + 2194935.

Almost surely, 21058345343252 is an apocalyptic number.

1058345343252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1058345343252 is an abundant number, since it is smaller than the sum of its proper divisors (1906699013484).

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

1058345343252 is a wasteful number, since it uses less digits than its factorization.

1058345343252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838499 (or 3838488 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 1058345343252 in words is "one trillion, fifty-eight billion, three hundred forty-five million, three hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 37 46 54 69 74 81 92 108 111 138 148 162 207 222 276 324 333 414 444 621 666 828 851 999 1242 1332 1702 1863 1998 2484 2553 2997 3404 3726 3996 5106 5994 7452 7659 10212 11988 15318 22977 30636 45954 68931 91908 137862 275724 3838423 7676846 11515269 15353692 23030538 34545807 46061076 69091614 88283729 103637421 138183228 142021651 176567458 207274842 264851187 284043302 310912263 353134916 414549684 426064953 529702374 568086604 621824526 794553561 852129906 1059404748 1243649052 1278194859 1589107122 1704259812 2383660683 2556389718 3178214244 3266497973 3834584577 4767321366 5112779436 6532995946 7150982049 7669169154 9534642732 9799493919 11503753731 13065991892 14301964098 15338338308 19598987838 23007507462 28603928196 29398481757 39197975676 46015014924 58796963514 88195445271 117593927028 176390890542 264586335813 352781781084 529172671626 1058345343252