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36541606740 = 223519145122091
BaseRepresentation
bin100010000010000011…
…001010101101010100
310111022122110221211020
4202002003022231110
51044314122403430
624441553241140
72432351350422
oct420203125524
9114278427736
1036541606740
1114551869aa1
1270b98631b0
1335a4722c12
141aa9160112
15e3d097b10
hex8820cab54

36541606740 has 96 divisors (see below), whose sum is σ = 107780682240. Its totient is φ = 9224784000.

The previous prime is 36541606693. The next prime is 36541606793. The reversal of 36541606740 is 4760614563.

It is a junction number, because it is equal to n+sod(n) for n = 36541606692 and 36541606701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643095 + ... + 1665185.

It is an arithmetic number, because the mean of its divisors is an integer number (1122715440).

Almost surely, 236541606740 is an apocalyptic number.

36541606740 is a gapful number since it is divisible by the number (30) 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 36541606740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53890341120).

36541606740 is an abundant number, since it is smaller than the sum of its proper divisors (71239075500).

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

36541606740 is a wasteful number, since it uses less digits than its factorization.

36541606740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23573 (or 23571 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 36541606740 in words is "thirty-six billion, five hundred forty-one million, six hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1451 2902 4353 5804 7255 8706 14510 17412 21765 22091 27569 29020 43530 44182 55138 66273 82707 87060 88364 110276 110455 132546 137845 165414 220910 265092 275690 330828 331365 413535 419729 441820 551380 662730 827070 839458 1259187 1325460 1654140 1678916 2098645 2518374 4197290 5036748 6295935 8394580 12591870 25183740 32054041 64108082 96162123 128216164 160270205 192324246 320540410 384648492 480810615 609026779 641080820 961621230 1218053558 1827080337 1923242460 2436107116 3045133895 3654160674 6090267790 7308321348 9135401685 12180535580 18270803370 36541606740