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4201045086 = 237247595153
BaseRepresentation
bin1111101001100110…
…1101110001011110
3101211210000012110110
43322121231301132
532100431420321
61532510550450
7206051202600
oct37231556136
911753005413
104201045086
111866420397
12992b08426
1351c4835c4
142bbd29170
15198c39176
hexfa66dc5e

4201045086 has 96 divisors (see below), whose sum is σ = 10152967680. Its totient is φ = 1154625024.

The previous prime is 4201045063. The next prime is 4201045087. The reversal of 4201045086 is 6805401024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201045087) 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, 812686 + ... + 817838.

It is an arithmetic number, because the mean of its divisors is an integer number (105760080).

Almost surely, 24201045086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201045086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076483840).

4201045086 is an abundant number, since it is smaller than the sum of its proper divisors (5951922594).

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

4201045086 is a wasteful number, since it uses less digits than its factorization.

4201045086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4201045086 is about 64815.4694961010. The cubic root of 4201045086 is about 1613.5624580763.

The spelling of 4201045086 in words is "four billion, two hundred one million, forty-five thousand, eighty-six".

Divisors: 1 2 3 6 7 14 21 42 47 49 59 94 98 118 141 147 177 282 294 329 354 413 658 826 987 1239 1974 2303 2478 2773 2891 4606 5153 5546 5782 6909 8319 8673 10306 13818 15459 16638 17346 19411 30918 36071 38822 58233 72142 108213 116466 135877 216426 242191 252497 271754 304027 407631 484382 504994 608054 726573 757491 815262 912081 1453146 1514982 1695337 1824162 2128189 3390674 4256378 5086011 6384567 10172022 11867359 12769134 14289269 14897323 23734718 28578538 29794646 35602077 42867807 44691969 71204154 85735614 89383938 100024883 200049766 300074649 600149298 700174181 1400348362 2100522543 4201045086