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1004342522688 = 263212491396037
BaseRepresentation
bin11101001110101110111…
…10101011001101000000
310120000101100122102201200
432213113132223031000
5112423343141211223
62045215533501200
7132363354405021
oct16472736531500
93500340572650
101004342522688
11357a3719751a
12142794341800
137392ab55bab
143687907cc48
151b1d2ae9a43
hexe9d77ab340

1004342522688 has 84 divisors (see below), whose sum is σ = 2881073422500. Its totient is φ = 334512562176.

The previous prime is 1004342522627. The next prime is 1004342522713. The reversal of 1004342522688 is 8862252434001.

1004342522688 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 3 + 42 + 522 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 683479185984 + 320863336704 = 826728^2 + 566448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21406 + ... + 1417442.

It is an arithmetic number, because the mean of its divisors is an integer number (34298493125).

Almost surely, 21004342522688 is an apocalyptic number.

1004342522688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004342522688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440536711250).

1004342522688 is an abundant number, since it is smaller than the sum of its proper divisors (1876730899812).

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

1004342522688 is a wasteful number, since it uses less digits than its factorization.

1004342522688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397304 (or 1397291 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

Adding to 1004342522688 its reverse (8862252434001), we get a palindrome (9866594956689).

The spelling of 1004342522688 in words is "one trillion, four billion, three hundred forty-two million, five hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1249 2498 3747 4996 7494 9992 11241 14988 19984 22482 29976 39968 44964 59952 79936 89928 119904 179856 239808 359712 719424 1396037 2792074 4188111 5584148 8376222 11168296 12564333 16752444 22336592 25128666 33504888 44673184 50257332 67009776 89346368 100514664 134019552 201029328 268039104 402058656 804117312 1743650213 3487300426 5230950639 6974600852 10461901278 13949201704 15692851917 20923802556 27898403408 31385703834 41847605112 55796806816 62771407668 83695210224 111593613632 125542815336 167390420448 251085630672 334780840896 502171261344 1004342522688