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36640051340 = 225311094631171
BaseRepresentation
bin100010000111111010…
…101101000010001100
310111120111201110102112
4202013322231002030
51100014323120330
624455431243152
72434655204054
oct420772550214
9114514643375
1036640051340
11145a2398972
1271268194b8
1335bbc40769
141ab8268564
15e46a41795
hex887ead08c

36640051340 has 96 divisors (see below), whose sum is σ = 80396574720. Its totient is φ = 14010796800.

The previous prime is 36640051297. The next prime is 36640051351. The reversal of 36640051340 is 4315004663.

It is a junction number, because it is equal to n+sod(n) for n = 36640051297 and 36640051306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31288955 + ... + 31290125.

It is an arithmetic number, because the mean of its divisors is an integer number (837464320).

Almost surely, 236640051340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36640051340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40198287360).

36640051340 is an abundant number, since it is smaller than the sum of its proper divisors (43756523380).

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

36640051340 is a wasteful number, since it uses less digits than its factorization.

36640051340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 36640051340 in words is "thirty-six billion, six hundred forty million, fifty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 109 124 155 218 310 436 463 545 620 926 1090 1171 1852 2180 2315 2342 3379 4630 4684 5855 6758 9260 11710 13516 14353 16895 23420 28706 33790 36301 50467 57412 67580 71765 72602 100934 127639 143530 145204 181505 201868 252335 255278 287060 363010 504670 510556 542173 638195 726020 1009340 1084346 1276390 1564477 2168692 2552780 2710865 3128954 3956809 5421730 6257908 7822385 7913618 10843460 15644770 15827236 16807363 19784045 31289540 33614726 39568090 59096857 67229452 79136180 84036815 118193714 168073630 236387428 295484285 336147260 590968570 1181937140 1832002567 3664005134 7328010268 9160012835 18320025670 36640051340