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36142653664 = 25133677673
BaseRepresentation
bin100001101010010001…
…010010000011100000
310110021211210001002101
4201222101102003200
51043010004404124
624334222300144
72416435326055
oct415221220340
9113254701071
1036142653664
1114367649707
127008127654
13353cb8a000
141a6c18d02c
15e1803e644
hex86a4520e0

36142653664 has 96 divisors (see below), whose sum is σ = 78243490080. Its totient is φ = 16430109696.

The previous prime is 36142653661. The next prime is 36142653671. The reversal of 36142653664 is 46635624163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36142653661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4706532 + ... + 4714204.

It is an arithmetic number, because the mean of its divisors is an integer number (815036355).

Almost surely, 236142653664 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 36142653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39121745040).

36142653664 is an abundant number, since it is smaller than the sum of its proper divisors (42100836416).

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

36142653664 is an equidigital number, since it uses as much as digits as its factorization.

36142653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7789 (or 7755 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 46.

The spelling of 36142653664 in words is "thirty-six billion, one hundred forty-two million, six hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 169 208 268 338 416 536 676 871 1072 1352 1742 2144 2197 2704 3484 4394 5408 6968 7673 8788 11323 13936 15346 17576 22646 27872 30692 35152 45292 61384 70304 90584 99749 122768 147199 181168 199498 245536 294398 362336 398996 514091 588796 797992 1028182 1177592 1296737 1595984 2056364 2355184 2593474 3191968 4112728 4710368 5186948 6683183 8225456 10373896 13366366 16450912 16857581 20747792 26732732 33715162 41495584 53465464 67430324 86881379 106930928 134860648 173762758 213861856 269721296 347525516 539442592 695051032 1129457927 1390102064 2258915854 2780204128 4517831708 9035663416 18071326832 36142653664