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80830672585744 = 24712316572
BaseRepresentation
bin10010011000001111011011…
…100001101100010000010000
3101121012100002112212120011211
4102120033123201230100100
541043312204140220434
6443525033124545504
723011552263443524
oct2230173341542020
9347170075776154
1080830672585744
1123834106472554
129095638852294
1336143b8634cc3
1415d6322803d84
159528d090e464
hex4983db86c410

80830672585744 has 45 divisors (see below), whose sum is σ = 158851279751421. Its totient is φ = 39844847521920.

The previous prime is 80830672585717. The next prime is 80830672585771. The reversal of 80830672585744 is 44758527603808.

The square root of 80830672585744 is 8990588.

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

It is an interprime number because it is at equal distance from previous prime (80830672585717) and next prime (80830672585771).

It can be written as a sum of positive squares in only one way, i.e., 39518070595600 + 41312601990144 = 6286340^2 + 6427488^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 80830672585744.

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 8 ways as a sum of consecutive naturals, for example, 2553311164 + ... + 2553342820.

Almost surely, 280830672585744 is an apocalyptic number.

80830672585744 is the 8990588-th square number.

It is an amenable number.

80830672585744 is a deficient number, since it is larger than the sum of its proper divisors (78020607165677).

80830672585744 is an frugal number, since it uses more digits than its factorization.

80830672585744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63464 (or 31730 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 67.

The spelling of 80830672585744 in words is "eighty trillion, eight hundred thirty billion, six hundred seventy-two million, five hundred eighty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 71 142 284 568 1136 5041 10082 20164 31657 40328 63314 80656 126628 253256 506512 2247647 4495294 8990588 17981176 35962352 159582937 319165874 638331748 1002165649 1276663496 2004331298 2553326992 4008662596 8017325192 16034650384 71153761079 142307522158 284615044316 569230088632 1138460177264 5051917036609 10103834073218 20207668146436 40415336292872 80830672585744