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3680850848 = 2519531031109
BaseRepresentation
bin1101101101100101…
…0101001110100000
3100111112011121010012
43123121111032200
530014244211343
61405125224052
7160133500403
oct33331251640
910445147105
103680850848
1116198207a4
12868862028
1346877a86c
1426cbd7d3a
15168232718
hexdb6553a0

3680850848 has 96 divisors (see below), whose sum is σ = 7854537600. Its totient is φ = 1692527616.

The previous prime is 3680850773. The next prime is 3680850851. The reversal of 3680850848 is 8480580863.

3680850848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3680850796 and 3680850805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3318518 + ... + 3319626.

It is an arithmetic number, because the mean of its divisors is an integer number (81818100).

Almost surely, 23680850848 is an apocalyptic number.

3680850848 is a gapful number since it is divisible by the number (38) 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 3680850848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927268800).

3680850848 is an abundant number, since it is smaller than the sum of its proper divisors (4173686752).

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

3680850848 is a wasteful number, since it uses less digits than its factorization.

3680850848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The square root of 3680850848 is about 60670.0160540608. The cubic root of 3680850848 is about 1544.0075035207.

The spelling of 3680850848 in words is "three billion, six hundred eighty million, eight hundred fifty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 53 76 103 106 152 206 212 304 412 424 608 824 848 1007 1109 1648 1696 1957 2014 2218 3296 3914 4028 4436 5459 7828 8056 8872 10918 15656 16112 17744 21071 21836 31312 32224 35488 42142 43672 58777 62624 84284 87344 103721 114227 117554 168568 174688 207442 228454 235108 337136 414884 456908 470216 674272 829768 913816 940432 1116763 1659536 1827632 1880864 2170313 2233526 3319072 3655264 4340626 4467052 6054031 8681252 8934104 12108062 17362504 17868208 24216124 34725008 35736416 48432248 69450016 96864496 115026589 193728992 230053178 460106356 920212712 1840425424 3680850848