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13725740836720 = 24511371297325021
BaseRepresentation
bin1100011110111100010111…
…1010000010011101110000
31210121011112110220220202101
43013233011322002131300
53244340304123233340
645105303541230144
72614436440052203
oct307570572023560
953534473826671
1013725740836720
114412065966a70
121658182a02354
13787440c98593
14356487c3b93a
1518c08849dc9a
hexc7bc5e82770

13725740836720 has 160 divisors (see below), whose sum is σ = 35782051605696. Its totient is φ = 4852522598400.

The previous prime is 13725740836693. The next prime is 13725740836777. The reversal of 13725740836720 is 2763804752731.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42067810 + ... + 42392830.

Almost surely, 213725740836720 is an apocalyptic number.

13725740836720 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 13725740836720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891025802848).

13725740836720 is an abundant number, since it is smaller than the sum of its proper divisors (22056310768976).

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

13725740836720 is a wasteful number, since it uses less digits than its factorization.

13725740836720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326379 (or 326373 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 13725740836720 in words is "thirteen trillion, seven hundred twenty-five billion, seven hundred forty million, eight hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1297 1480 1628 2035 2594 2960 3256 4070 5188 6485 6512 8140 10376 12970 14267 16280 20752 25940 28534 32560 47989 51880 57068 71335 95978 103760 114136 142670 191956 228272 239945 285340 325021 383912 479890 527879 570680 650042 767824 959780 1055758 1141360 1300084 1625105 1919560 2111516 2600168 2639395 3250210 3575231 3839120 4223032 5200336 5278790 6500420 7150462 8446064 10557580 12025777 13000840 14300924 17876155 21115160 24051554 26001680 28601848 35752310 42230320 48103108 57203696 60128885 71504620 96206216 120257770 132283547 143009240 192412432 240515540 264567094 286018480 421552237 481031080 529134188 661417735 843104474 962062160 1058268376 1322835470 1686208948 2107761185 2116536752 2645670940 3372417896 4215522370 4637074607 5291341880 6744835792 8431044740 9274149214 10582683760 15597432769 16862089480 18548298428 23185373035 31194865538 33724178960 37096596856 46370746070 62389731076 74193193712 77987163845 92741492140 124779462152 155974327690 171571760459 185482984280 249558924304 311948655380 343143520918 370965968560 623897310760 686287041836 857858802295 1247794621520 1372574083672 1715717604590 2745148167344 3431435209180 6862870418360 13725740836720