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36407272240 = 2452328197019
BaseRepresentation
bin100001111010000010…
…101110001100110000
310110222021201001112101
4201322002232030300
51044030230202430
624420354110144
72426130464563
oct417202561460
9113867631471
1036407272240
1114492a57549
12708087b354
13358294a551
141a953924da
15e313aedca
hex87a0ae330

36407272240 has 80 divisors (see below), whose sum is σ = 88371129600. Its totient is φ = 13922813696.

The previous prime is 36407272219. The next prime is 36407272243. The reversal of 36407272240 is 4227270463.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 36407272240.

It is not an unprimeable number, because it can be changed into a prime (36407272243) 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, 5183451 + ... + 5190469.

It is an arithmetic number, because the mean of its divisors is an integer number (1104639120).

Almost surely, 236407272240 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 36407272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44185564800).

36407272240 is an abundant number, since it is smaller than the sum of its proper divisors (51963857360).

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

36407272240 is a wasteful number, since it uses less digits than its factorization.

36407272240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9874 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The spelling of 36407272240 in words is "thirty-six billion, four hundred seven million, two hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2819 5638 7019 11276 14038 14095 22552 28076 28190 35095 45104 56152 56380 64837 70190 112304 112760 129674 140380 161437 225520 259348 280760 322874 324185 518696 561520 645748 648370 807185 1037392 1291496 1296740 1614370 2582992 2593480 3228740 5186960 6457480 12914960 19786561 39573122 79146244 98932805 158292488 197865610 316584976 395731220 455090903 791462440 910181806 1582924880 1820363612 2275454515 3640727224 4550909030 7281454448 9101818060 18203636120 36407272240