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1356352659456 = 2133251219881
BaseRepresentation
bin10011101111001100111…
…010110010000000000000
311210122222112211011100120
4103233030322302000000
5134210302240100311
62515033320420240
7166664453244234
oct23571472620000
94718875734316
101356352659456
11483253797323
1219aa53917680
139ab9900a752
144990d8885c4
1525436364706
hex13bcceb2000

1356352659456 has 112 divisors (see below), whose sum is σ = 3631145420448. Its totient is φ = 450314240000.

The previous prime is 1356352659451. The next prime is 1356352659533. The reversal of 1356352659456 is 6549562536531.

It is a self number, because there is not a number n which added to its sum of digits gives 1356352659456.

It is not an unprimeable number, because it can be changed into a prime (1356352659451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6058636 + ... + 6278516.

It is an arithmetic number, because the mean of its divisors is an integer number (32420941254).

Almost surely, 21356352659456 is an apocalyptic number.

1356352659456 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 1356352659456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815572710224).

1356352659456 is an abundant number, since it is smaller than the sum of its proper divisors (2274792760992).

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

1356352659456 is an equidigital number, since it uses as much as digits as its factorization.

1356352659456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220161 (or 220137 counting only the distinct ones).

The product of its digits is 87480000, while the sum is 60.

The spelling of 1356352659456 in words is "one trillion, three hundred fifty-six billion, three hundred fifty-two million, six hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 256 384 502 512 753 768 1004 1024 1506 1536 2008 2048 3012 3072 4016 4096 6024 6144 8032 8192 12048 12288 16064 24096 24576 32128 48192 64256 96384 128512 192768 219881 257024 385536 439762 514048 659643 771072 879524 1028096 1319286 1542144 1759048 2056192 2638572 3084288 3518096 5277144 6168576 7036192 10554288 14072384 21108576 28144768 42217152 55190131 56289536 84434304 110380262 112579072 165570393 168868608 220760524 225158144 331140786 337737216 441521048 450316288 662281572 675474432 883042096 900632576 1324563144 1350948864 1766084192 1801265152 2649126288 2701897728 3532168384 5298252576 5403795456 7064336768 10596505152 14128673536 21193010304 28257347072 42386020608 56514694144 84772041216 113029388288 169544082432 226058776576 339088164864 452117553152 678176329728 1356352659456