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1356052051640 = 23511132239105883
BaseRepresentation
bin10011101110111011000…
…000000011011010111000
311210122012121011200221202
4103232323000003122320
5134204143311123030
62514543421353332
7166654143153506
oct23567300033270
94718177150852
101356052051640
1148310a038210
1219a98b108848
139ab4b9590c0
14498c1997676
1525419c85745
hex13bbb0036b8

1356052051640 has 128 divisors (see below), whose sum is σ = 3586164019200. Its totient is φ = 454970718720.

The previous prime is 1356052051537. The next prime is 1356052051643. The reversal of 1356052051640 is 461502506531.

It is a junction number, because it is equal to n+sod(n) for n = 1356052051594 and 1356052051603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356052051643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12754139 + ... + 12860021.

It is an arithmetic number, because the mean of its divisors is an integer number (28016906400).

Almost surely, 21356052051640 is an apocalyptic number.

1356052051640 is a gapful number since it is divisible by the number (10) 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 1356052051640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793082009600).

1356052051640 is an abundant number, since it is smaller than the sum of its proper divisors (2230111967560).

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

1356052051640 is a wasteful number, since it uses less digits than its factorization.

1356052051640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108157 (or 108153 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 1356052051640 in words is "one trillion, three hundred fifty-six billion, fifty-two million, fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2239 2860 4478 5720 8956 11195 17912 22390 24629 29107 44780 49258 58214 89560 98516 105883 116428 123145 145535 197032 211766 232856 246290 291070 320177 423532 492580 529415 582140 640354 847064 985160 1058830 1164280 1164713 1280708 1376479 1600885 2117660 2329426 2561416 2752958 3201770 4235320 4658852 5505916 5823565 6403540 6882395 9317704 11011832 11647130 12807080 13764790 15141269 23294260 27529580 30282538 46588520 55059160 60565076 75706345 121130152 151412690 237072037 302825380 474144074 605650760 948288148 1185360185 1896576296 2370720370 2607792407 3081936481 4741440740 5215584814 6163872962 9482881480 10431169628 12327745924 13038962035 15409682405 20862339256 24655491848 26077924070 30819364810 33901301291 52155848140 61638729620 67802602582 104311696280 123277459240 135605205164 169506506455 271210410328 339013012910 678026025820 1356052051640