Search a number
-
+
4245104664 = 2332234216089
BaseRepresentation
bin1111110100000111…
…0010100000011000
3101221211220122211200
43331001302200120
532143221322124
61541123154200
7210124536303
oct37501624030
911854818750
104245104664
111889283a69
129a5815960
1352863bb68
142c3b17b3a
1519ca3dbc9
hexfd072818

4245104664 has 96 divisors (see below), whose sum is σ = 12027506400. Its totient is φ = 1350074880.

The previous prime is 4245104653. The next prime is 4245104671. The reversal of 4245104664 is 4664015424.

4245104664 is a `hidden beast` number, since 42 + 4 + 510 + 46 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 694132 + ... + 700220.

It is an arithmetic number, because the mean of its divisors is an integer number (125286525).

Almost surely, 24245104664 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 4245104664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013753200).

4245104664 is an abundant number, since it is smaller than the sum of its proper divisors (7782401736).

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

4245104664 is a wasteful number, since it uses less digits than its factorization.

4245104664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4245104664 is about 65154.4677209476. The cubic root of 4245104664 is about 1619.1837405916.

The spelling of 4245104664 in words is "four billion, two hundred forty-five million, one hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 421 552 828 842 1263 1656 1684 2526 3368 3789 5052 6089 7578 9683 10104 12178 15156 18267 19366 24356 29049 30312 36534 38732 48712 54801 58098 73068 77464 87147 109602 116196 140047 146136 174294 219204 232392 280094 348588 420141 438408 560188 697176 840282 1120376 1260423 1680564 2520846 2563469 3361128 5041692 5126938 7690407 10083384 10253876 15380814 20507752 23071221 30761628 46142442 58959787 61523256 92284884 117919574 176879361 184569768 235839148 353758722 471678296 530638083 707517444 1061276166 1415034888 2122552332 4245104664