Search a number
-
+
46241655614264 = 2311677842885959
BaseRepresentation
bin10101000001110011110010…
…11101001110101100111000
320001201122210111010201000102
422200321321131032230320
522030110402314124024
6242203042345454532
712511564222302365
oct1240717135165470
9201648714121012
1046241655614264
1113808a81093210
125229b38aa1448
131ca5753004696
14b5c1727a746c
15552cb91481ae
hex2a0e7974eb38

46241655614264 has 32 divisors (see below), whose sum is σ = 95996924150400. Its totient is φ = 20705218929120.

The previous prime is 46241655614239. The next prime is 46241655614267.

46241655614264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×462416556142642 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46241655614267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3921437084 + ... + 3921448875.

It is an arithmetic number, because the mean of its divisors is an integer number (2999903879700).

Almost surely, 246241655614264 is an apocalyptic number.

46241655614264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46241655614264 is an abundant number, since it is smaller than the sum of its proper divisors (49755268536136).

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

46241655614264 is a wasteful number, since it uses less digits than its factorization.

46241655614264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7842886043 (or 7842886039 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 56.

The spelling of 46241655614264 in words is "forty-six trillion, two hundred forty-one billion, six hundred fifty-five million, six hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1474 2948 5896 7842885959 15685771918 31371543836 62743087672 86271745549 172543491098 345086982196 525473359253 690173964392 1050946718506 2101893437012 4203786874024 5780206951783 11560413903566 23120827807132 46241655614264