Search a number
-
+
32700409056 = 2532783195427
BaseRepresentation
bin11110011101000110…
…001010010011100000
310010101221120220012100
4132131012022103200
51013432301042211
623004455130400
72235226614360
oct363506122340
9103357526170
1032700409056
111296058a357
126407373a00
133111992a93
141822d469a0
15cb5c40156
hex79d18a4e0

32700409056 has 144 divisors (see below), whose sum is σ = 107557317504. Its totient is φ = 9230360832.

The previous prime is 32700408989. The next prime is 32700409067. The reversal of 32700409056 is 65090400723.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×327004090562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32700409056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69615 + ... + 265041.

It is an arithmetic number, because the mean of its divisors is an integer number (746925816).

Almost surely, 232700409056 is an apocalyptic number.

32700409056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32700409056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778658752).

32700409056 is an abundant number, since it is smaller than the sum of its proper divisors (74856908448).

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

32700409056 is a wasteful number, since it uses less digits than its factorization.

32700409056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195533 (or 195522 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 32700409056 its reverse (65090400723), we get a palindrome (97790809779).

The spelling of 32700409056 in words is "thirty-two billion, seven hundred million, four hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 224 249 252 288 332 336 498 504 581 664 672 747 996 1008 1162 1328 1494 1743 1992 2016 2324 2656 2988 3486 3984 4648 5229 5976 6972 7968 9296 10458 11952 13944 18592 20916 23904 27888 41832 55776 83664 167328 195427 390854 586281 781708 1172562 1367989 1563416 1758843 2345124 2735978 3126832 3517686 4103967 4690248 5471956 6253664 7035372 8207934 9380496 10943912 12311901 14070744 16220441 16415868 18760992 21887824 24623802 28141488 32440882 32831736 43775648 48661323 49247604 56282976 64881764 65663472 97322646 98495208 113543087 129763528 131326944 145983969 194645292 196990416 227086174 259527056 291967938 340629261 389290584 393980832 454172348 519054112 583935876 681258522 778581168 908344696 1021887783 1167871752 1362517044 1557162336 1816689392 2043775566 2335743504 2725034088 3633378784 4087551132 4671487008 5450068176 8175102264 10900136352 16350204528 32700409056