Search a number
-
+
36642453354 = 23313431518039
BaseRepresentation
bin100010001000000011…
…110111011101101010
310111120200020111101000
4202020003313131222
51100020432001404
624455554535430
72435014500033
oct421003673552
9114520214330
1036642453354
11145a3789601
127127597576
1335bc5a1b80
141ab86d1a8a
15e46d68339
hex8880f776a

36642453354 has 128 divisors (see below), whose sum is σ = 90336153600. Its totient is φ = 10938110400.

The previous prime is 36642453343. The next prime is 36642453389. The reversal of 36642453354 is 45335424663.

36642453354 is a `hidden beast` number, since 3 + 6 + 64 + 2 + 4 + 533 + 54 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4554067 + ... + 4562105.

It is an arithmetic number, because the mean of its divisors is an integer number (705751200).

Almost surely, 236642453354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36642453354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45168076800).

36642453354 is an abundant number, since it is smaller than the sum of its proper divisors (53693700246).

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

36642453354 is a wasteful number, since it uses less digits than its factorization.

36642453354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8251 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 45.

The spelling of 36642453354 in words is "thirty-six billion, six hundred forty-two million, four hundred fifty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 117 129 151 234 258 302 351 387 453 559 702 774 906 1118 1161 1359 1677 1963 2322 2718 3354 3926 4077 5031 5889 6493 8039 8154 10062 11778 12986 15093 16078 17667 19479 24117 30186 35334 38958 48234 53001 58437 72351 84409 104507 106002 116874 144702 168818 175311 209014 217053 253227 313521 345677 350622 434106 506454 627042 691354 759681 940563 1037031 1213889 1519362 1881126 2074062 2279043 2427778 2821689 3111093 3641667 4493801 4558086 5643378 6222186 7283334 8987602 9333279 10925001 13481403 15780557 18666558 21850002 26962806 31561114 32775003 40444209 47341671 52197227 65550006 80888418 94683342 104394454 121332627 142025013 156591681 242665254 284050026 313183362 426075039 469775043 678563951 852150078 939550086 1357127902 1409325129 2035691853 2818650258 4071383706 6107075559 12214151118 18321226677 36642453354