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6361690660 = 2251323495393
BaseRepresentation
bin1011110110010111…
…11011001000100100
3121102100122100222121
411323023323020210
5101012043100120
62531133035324
7313435323043
oct57313731044
917370570877
106361690660
112775010396
121296625b44
137a4cb6200
14444c8055a
152737805aa
hex17b2fb224

6361690660 has 72 divisors (see below), whose sum is σ = 14510399400. Its totient is φ = 2341767168.

The previous prime is 6361690619. The next prime is 6361690691. The reversal of 6361690660 is 660961636.

It can be written as a sum of positive squares in 12 ways, for example, as 1198405924 + 5163284736 = 34618^2 + 71856^2 .

It is a super-2 number, since 2×63616906602 = 80942216107062471200, which contains 22 as substring.

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, 1176924 + ... + 1182316.

It is an arithmetic number, because the mean of its divisors is an integer number (201533325).

Almost surely, 26361690660 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 6361690660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255199700).

6361690660 is an abundant number, since it is smaller than the sum of its proper divisors (8148708740).

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

6361690660 is a wasteful number, since it uses less digits than its factorization.

6361690660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The square root of 6361690660 is about 79760.2072464710. The cubic root of 6361690660 is about 1852.9236129841.

The spelling of 6361690660 in words is "six billion, three hundred sixty-one million, six hundred ninety thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 349 676 698 845 1396 1690 1745 3380 3490 4537 5393 6980 9074 10786 18148 21572 22685 26965 45370 53930 58981 70109 90740 107860 117962 140218 235924 280436 294905 350545 589810 701090 911417 1179620 1402180 1822834 1882157 3645668 3764314 4557085 7528628 9114170 9410785 18228340 18821570 24468041 37643140 48936082 97872164 122340205 244680410 318084533 489360820 636169066 1272338132 1590422665 3180845330 6361690660