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2043693258084 = 223443218472
BaseRepresentation
bin11101101111010101100…
…111000101010101100100
321020101010111102100010000
4131233111213011111210
5231440440433224314
64202505411101300
7300436424033112
oct35572547052544
97211114370100
102043693258084
117187a8624335
122900b88a1830
1311a94781993a
1470cb5764ab2
1538263d48209
hex1dbd59c5564

2043693258084 has 135 divisors (see below), whose sum is σ = 5472717289347. Its totient is φ = 665028248976.

The previous prime is 2043693258073. The next prime is 2043693258097. The reversal of 2043693258084 is 4808523963402.

The square root of 2043693258084 is 1429578.

It is a perfect power (a square), and thus also a powerful number.

2043693258084 is a `hidden beast` number, since 20 + 4 + 3 + 6 + 9 + 32 + 580 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2043693258084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1106492449 + ... + 1106494295.

Almost surely, 22043693258084 is an apocalyptic number.

2043693258084 is the 1429578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043693258084

2043693258084 is an abundant number, since it is smaller than the sum of its proper divisors (3429024031263).

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

2043693258084 is an frugal number, since it uses more digits than its factorization.

2043693258084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2043693258084 in words is "two trillion, forty-three billion, six hundred ninety-three million, two hundred fifty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 1847 1849 2322 3483 3694 3698 4644 5541 5547 6966 7388 7396 11082 11094 13932 16623 16641 22164 22188 33246 33282 49869 49923 66492 66564 79421 99738 99846 149607 149769 158842 199476 199692 238263 299214 299538 317684 476526 598428 599076 714789 953052 1429578 2144367 2859156 3411409 3415103 4288734 6433101 6822818 6830206 8577468 10234227 10245309 12866202 13645636 13660412 20468454 20490618 25732404 30702681 30735927 40936908 40981236 61405362 61471854 92108043 92207781 122810724 122943708 146690587 184216086 184415562 276324129 276623343 293381174 368432172 368831124 440071761 552648258 553246686 586762348 880143522 1105296516 1106493372 1320215283 1760287044 2640430566 3960645849 5280861132 6307695241 7921291698 11881937547 12615390482 15842583396 18923085723 23763875094 25230780964 37846171446 47527750188 56769257169 75692342892 113538514338 170307771507 227077028676 340615543014 510923314521 681231086028 1021846629042 2043693258084