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2890639235344 = 247241214812
BaseRepresentation
bin101010000100000111100…
…001100101100100010000
3101020100020121200211010011
4222010013201211210100
5334330012121012334
610051535154444304
7415561510044400
oct52040741454420
911210217624104
102890639235344
11a14a05542643
123a8285293694
1317c7808b8383
149dc9c990800
15502d3819564
hex2a107865910

2890639235344 has 135 divisors (see below), whose sum is σ = 6682289502063. Its totient is φ = 1207813555200.

The previous prime is 2890639235339. The next prime is 2890639235359. The reversal of 2890639235344 is 4435329360982.

The square root of 2890639235344 is 1700188.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1020528284944 + 1870110950400 = 1010212^2 + 1367520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1951815084 + ... + 1951816564.

Almost surely, 22890639235344 is an apocalyptic number.

2890639235344 is the 1700188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890639235344

2890639235344 is an abundant number, since it is smaller than the sum of its proper divisors (3791650266719).

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

2890639235344 is an frugal number, since it uses more digits than its factorization.

2890639235344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 58.

The spelling of 2890639235344 in words is "two trillion, eight hundred ninety billion, six hundred thirty-nine million, two hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 1148 1481 1681 2009 2296 2962 3362 4018 4592 5924 6724 8036 10367 11767 11848 13448 16072 20734 23534 23696 26896 32144 41468 47068 60721 72569 82369 82936 94136 121442 145138 164738 165872 188272 242884 290276 329476 425047 485768 580552 658952 850094 971536 1161104 1317904 1700188 2193361 2489561 2975329 3400376 4386722 4979122 5950658 6800752 8773444 9958244 11901316 15353527 17426927 17546888 19916488 23802632 30707054 34853854 35093776 39832976 47605264 61414108 69707708 89927801 107474689 121988489 122828216 139415416 179855602 214949378 243976978 245656432 278830832 359711204 429898756 487953956 629494607 719422408 859797512 975907912 1258989214 1438844816 1719595024 1951815824 2517978428 3687039841 4406462249 5035956856 7374079682 8812924498 10071913712 14748159364 17625848996 25809278887 29496318728 35251697992 51618557774 58992637456 70503395984 103237115548 180664952209 206474231096 361329904418 412948462192 722659808836 1445319617672 2890639235344