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4613268780 = 22325193736457
BaseRepresentation
bin1000100101111100…
…01110010100101100
3102220111200100001200
410102332032110230
533421444100110
62041434205500
7222215065131
oct42276162454
912814610050
104613268780
111a5808512a
12a88b83890
135869b4953
1431a992588
151c00146c0
hex112f8e52c

4613268780 has 144 divisors (see below), whose sum is σ = 15128611680. Its totient is φ = 1133927424.

The previous prime is 4613268707. The next prime is 4613268787. The reversal of 4613268780 is 878623164.

4613268780 is a `hidden beast` number, since 4 + 613 + 26 + 8 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4613268787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108312 + ... + 144768.

Almost surely, 24613268780 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 4613268780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7564305840).

4613268780 is an abundant number, since it is smaller than the sum of its proper divisors (10515342900).

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

4613268780 is a wasteful number, since it uses less digits than its factorization.

4613268780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36528 (or 36523 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4613268780 is about 67921.0481367889. The cubic root of 4613268780 is about 1664.7010474271.

The spelling of 4613268780 in words is "four billion, six hundred thirteen million, two hundred sixty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2812 3330 3420 3515 4218 6327 6660 7030 8436 10545 12654 14060 21090 25308 31635 36457 42180 63270 72914 109371 126540 145828 182285 218742 328113 364570 437484 546855 656226 692683 729140 1093710 1312452 1348909 1385366 1640565 2078049 2187420 2697818 2770732 3281130 3463415 4046727 4156098 5395636 6234147 6562260 6744545 6926830 8093454 8312196 10390245 12140181 12468294 13489090 13853660 16186908 20233635 20780490 24280362 24936588 25629271 26978180 31170735 40467270 41560980 48560724 51258542 60700905 62341470 76887813 80934540 102517084 121401810 124682940 128146355 153775626 230663439 242803620 256292710 307551252 384439065 461326878 512585420 768878130 922653756 1153317195 1537756260 2306634390 4613268780