Search a number
-
+
46508145322640 = 2451135144706341
BaseRepresentation
bin10101001001100100001010…
…11110110010101010010000
320002200010122121112112112112
422210302011132302222100
522043442140200311030
6242525314053044452
712540050124403601
oct1244620536625220
9202603577475475
1046508145322640
1113900aa262a421
12527170b926728
131cc491243a361
14b6b0131c3da8
15559bb493ba95
hex2a4c857b2a90

46508145322640 has 40 divisors (see below), whose sum is σ = 109088353275768. Its totient is φ = 18438627522560.

The previous prime is 46508145322589. The next prime is 46508145322669. The reversal of 46508145322640 is 4622354180564.

It can be written as a sum of positive squares in 4 ways, for example, as 4163868789136 + 42344276533504 = 2040556^2 + 6507248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2572344131 + ... + 2572362210.

Almost surely, 246508145322640 is an apocalyptic number.

46508145322640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46508145322640 is an abundant number, since it is smaller than the sum of its proper divisors (62580207953128).

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

46508145322640 is a wasteful number, since it uses less digits than its factorization.

46508145322640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144706467 (or 5144706461 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 50.

The spelling of 46508145322640 in words is "forty-six trillion, five hundred eight billion, one hundred forty-five million, three hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 5144706341 10289412682 20578825364 25723531705 41157650728 51447063410 82315301456 102894126820 205788253640 411576507280 581351816533 1162703633066 2325407266132 2906759082665 4650814532264 5813518165330 9301629064528 11627036330660 23254072661320 46508145322640