Search a number
-
+
663799107672 = 233476110191321
BaseRepresentation
bin10011010100011011000…
…00101001000001011000
32100110101022010112020000
421222031200221001120
541333430032421142
61224540050333000
765646363214251
oct11521540510130
92313338115200
10663799107672
11236574322468
12a8794b8a160
134a7994cb8ac
14241b1515b28
1512400db214c
hex9a8d829058

663799107672 has 160 divisors (see below), whose sum is σ = 1864932973200. Its totient is φ = 220591641600.

The previous prime is 663799107649. The next prime is 663799107677. The reversal of 663799107672 is 276701997366.

It is a super-2 number, since 2×6637991076722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663799107677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 502496772 + ... + 502498092.

Almost surely, 2663799107672 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 663799107672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932466486600).

663799107672 is an abundant number, since it is smaller than the sum of its proper divisors (1201133865528).

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

663799107672 is a wasteful number, since it uses less digits than its factorization.

663799107672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 663799107672 in words is "six hundred sixty-three billion, seven hundred ninety-nine million, one hundred seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 761 1019 1321 1522 2038 2283 2642 3044 3057 3963 4076 4566 5284 6088 6114 6849 7926 8152 9132 9171 10568 11889 12228 13698 15852 18264 18342 20547 23778 24456 27396 27513 31704 35667 36684 41094 47556 54792 55026 61641 71334 73368 82188 82539 95112 107001 110052 123282 142668 164376 165078 214002 220104 246564 285336 330156 428004 493128 660312 775459 856008 1005281 1346099 1550918 2010562 2326377 2692198 3015843 3101836 4021124 4038297 4652754 5384396 6031686 6203672 6979131 8042248 8076594 9047529 9305508 10768792 12063372 12114891 13958262 16153188 18095058 18611016 20937393 24126744 24229782 27142587 27916524 32306376 36190116 36344673 41874786 48459564 54285174 55833048 62812179 72380232 72689346 81427761 83749572 96919128 108570348 109034019 125624358 145378692 162855522 167499144 217140696 218068038 251248716 290757384 325711044 436136076 502497432 651422088 872272152 1024381339 2048762678 3073144017 4097525356 6146288034 8195050712 9219432051 12292576068 18438864102 24585152136 27658296153 36877728204 55316592306 73755456408 82974888459 110633184612 165949776918 221266369224 331899553836 663799107672