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87336952272 = 2433538574451
BaseRepresentation
bin101000101010110110…
…0000010000111010000
322100102122212212102000
41101111230002013100
52412331224433042
6104042205554000
76211201563003
oct1212554020720
9270378785360
1087336952272
11340484839a9
1214b14b75900
13830b1a60ab
14432736753a
15241269574c
hex1455b021d0

87336952272 has 160 divisors (see below), whose sum is σ = 255774879360. Its totient is φ = 28523289600.

The previous prime is 87336952201. The next prime is 87336952273. The reversal of 87336952272 is 27225963378.

87336952272 is a `hidden beast` number, since 8 + 7 + 3 + 369 + 5 + 2 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87336952273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19619647 + ... + 19624097.

It is an arithmetic number, because the mean of its divisors is an integer number (1598592996).

Almost surely, 287336952272 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 87336952272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127887439680).

87336952272 is an abundant number, since it is smaller than the sum of its proper divisors (168437927088).

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

87336952272 is a wasteful number, since it uses less digits than its factorization.

87336952272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5366 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 87336952272 in words is "eighty-seven billion, three hundred thirty-six million, nine hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 857 954 1272 1431 1714 1908 2544 2571 2862 3428 3816 4451 5142 5724 6856 7632 7713 8902 10284 11448 13353 13712 15426 17804 20568 22896 23139 26706 30852 35608 40059 41136 45421 46278 53412 61704 71216 80118 90842 92556 106824 120177 123408 136263 160236 181684 185112 213648 235903 240354 272526 320472 363368 370224 408789 471806 480708 545052 640944 707709 726736 817578 943612 961416 1090104 1226367 1415418 1635156 1887224 1922832 2123127 2180208 2452734 2830836 3270312 3774448 3814507 4246254 4905468 5661672 6369381 6540624 7629014 8492508 9810936 11323344 11443521 12738762 15258028 16985016 19621872 22887042 25477524 30516056 33970032 34330563 45774084 50955048 61032112 68661126 91548168 101910096 102991689 137322252 183096336 202168871 205983378 274644504 404337742 411966756 549289008 606506613 808675484 823933512 1213013226 1617350968 1647867024 1819519839 2426026452 3234701936 3639039678 4852052904 5458559517 7278079356 9704105808 10917119034 14556158712 21834238068 29112317424 43668476136 87336952272