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1329897390336 = 28323343172663
BaseRepresentation
bin10011010110100100000…
…011111100000100000000
311201010200211120020121100
4103112210003330010000
5133242112212442321
62454540232254400
7165040045205604
oct23264403740400
94633624506540
101329897390336
11473008452049
121958abb41400
1398541143c58
1448520123504
15248d8a31326
hex135a40fc100

1329897390336 has 108 divisors (see below), whose sum is σ = 3835591247488. Its totient is φ = 443163958272.

The previous prime is 1329897390331. The next prime is 1329897390359. The reversal of 1329897390336 is 6330937989231.

1329897390336 is a `hidden beast` number, since 1 + 3 + 298 + 9 + 7 + 3 + 9 + 0 + 336 = 666.

It is not an unprimeable number, because it can be changed into a prime (1329897390331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7615941 + ... + 7788603.

Almost surely, 21329897390336 is an apocalyptic number.

1329897390336 is a gapful number since it is divisible by the number (16) 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 1329897390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917795623744).

1329897390336 is an abundant number, since it is smaller than the sum of its proper divisors (2505693857152).

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

1329897390336 is a wasteful number, since it uses less digits than its factorization.

1329897390336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176028 (or 176011 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 1329897390336 in words is "one trillion, three hundred twenty-nine billion, eight hundred ninety-seven million, three hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3343 6686 10029 13372 20058 26744 30087 40116 53488 60174 80232 106976 120348 160464 172663 213952 240696 320928 345326 427904 481392 517989 641856 690652 855808 962784 1035978 1283712 1381304 1553967 1925568 2071956 2567424 2762608 3107934 3851136 4143912 5525216 6215868 7702272 8287824 11050432 12431736 16575648 22100864 24863472 33151296 44201728 49726944 66302592 99453888 132605184 198907776 397815552 577212409 1154424818 1731637227 2308849636 3463274454 4617699272 5194911681 6926548908 9235398544 10389823362 13853097816 18470797088 20779646724 27706195632 36941594176 41559293448 55412391264 73883188352 83118586896 110824782528 147766376704 166237173792 221649565056 332474347584 443299130112 664948695168 1329897390336