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1685292083344 = 2417411232
BaseRepresentation
bin11000100001100011001…
…111000110100010010000
312222010000220101020120001
4120201203033012202100
5210102434233131334
63330113522055344
7232521052231042
oct30414317064220
95863026336501
101685292083344
1159a80149a071
12232754aaa554
13c2bcb574ccc
145b7d6239a92
152dc894a2714
hex188633c6890

1685292083344 has 75 divisors (see below), whose sum is σ = 3472421397663. Its totient is φ = 792372413184.

The previous prime is 1685292083309. The next prime is 1685292083359. The reversal of 1685292083344 is 4433802925861.

It is a happy number.

The square root of 1685292083344 is 1298188.

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

It can be written as a sum of positive squares in 2 ways, for example, as 523035596944 + 1162256486400 = 723212^2 + 1078080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1500704767 + ... + 1500705889.

Almost surely, 21685292083344 is an apocalyptic number.

1685292083344 is the 1298188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685292083344

1685292083344 is an abundant number, since it is smaller than the sum of its proper divisors (1787129314319).

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

1685292083344 is an frugal number, since it uses more digits than its factorization.

1685292083344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 1685292083344 in words is "one trillion, six hundred eighty-five billion, two hundred ninety-two million, eighty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1123 1156 2246 2312 4492 4624 4913 8984 9826 17968 19091 19652 38182 39304 76364 78608 83521 152728 167042 305456 324547 334084 649094 668168 1261129 1298188 1336336 2522258 2596376 5044516 5192752 5517299 10089032 11034598 20178064 21439193 22069196 42878386 44138392 85756772 88276784 93794083 171513544 187588166 343027088 364466281 375176332 728932562 750352664 1457865124 1500705328 2915730248 5831460496 6195926777 12391853554 24783707108 49567414216 99134828432 105330755209 210661510418 421323020836 842646041672 1685292083344