Search a number
-
+
105341461264 = 2413259660299
BaseRepresentation
bin110001000011011010…
…1110010001100010000
3101001220102112200121101
41202012311302030100
53211214403230024
6120220533034144
710416313434604
oct1420665621420
9331812480541
10105341461264
1140747565aa6
12184ba785954
139c1a324b00
145154609504
152b1813ec44
hex1886d72310

105341461264 has 60 divisors (see below), whose sum is σ = 224752914000. Its totient is φ = 47795010432.

The previous prime is 105341461241. The next prime is 105341461271. The reversal of 105341461264 is 462164143501.

It is a super-2 number, since 2×1053414612642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170614 + ... + 489685.

It is an arithmetic number, because the mean of its divisors is an integer number (3745881900).

Almost surely, 2105341461264 is an apocalyptic number.

It is an amenable number.

105341461264 is an abundant number, since it is smaller than the sum of its proper divisors (119411452736).

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

105341461264 is a wasteful number, since it uses less digits than its factorization.

105341461264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660392 (or 660373 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 105341461264 in words is "one hundred five billion, three hundred forty-one million, four hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 169 208 236 338 472 676 767 944 1352 1534 2704 3068 6136 9971 12272 19942 39884 79768 159536 660299 1320598 2641196 5282392 8583887 10564784 17167774 34335548 38957641 68671096 77915282 111590531 137342192 155830564 223181062 311661128 446362124 506449333 623322256 892724248 1012898666 1785448496 2025797332 4051594664 6583841329 8103189328 13167682658 26335365316 52670730632 105341461264