Search a number
-
+
46062074640 = 2435877218843
BaseRepresentation
bin101010111001100000…
…110111101100010000
311101220010220211120110
4222321200313230100
51223313342342030
633054410041320
73220314113541
oct527140675420
9141803824513
1046062074640
111859792748a
128b16119240
134460c7368a
14232d7384c8
1512e8cd21b0
hexab9837b10

46062074640 has 80 divisors (see below), whose sum is σ = 142955903808. Its totient is φ = 12269157888.

The previous prime is 46062074621. The next prime is 46062074659. The reversal of 46062074640 is 4647026064.

It is an interprime number because it is at equal distance from previous prime (46062074621) and next prime (46062074659).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×460620746402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101059 + ... + 319901.

Almost surely, 246062074640 is an apocalyptic number.

46062074640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46062074640 is an abundant number, since it is smaller than the sum of its proper divisors (96893829168).

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

46062074640 is a wasteful number, since it uses less digits than its factorization.

46062074640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219736 (or 219730 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 46062074640 in words is "forty-six billion, sixty-two million, seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 877 1754 2631 3508 4385 5262 7016 8770 10524 13155 14032 17540 21048 26310 35080 42096 52620 70160 105240 210480 218843 437686 656529 875372 1094215 1313058 1750744 2188430 2626116 3282645 3501488 4376860 5252232 6565290 8753720 10504464 13130580 17507440 26261160 52522320 191925311 383850622 575775933 767701244 959626555 1151551866 1535402488 1919253110 2303103732 2878879665 3070804976 3838506220 4606207464 5757759330 7677012440 9212414928 11515518660 15354024880 23031037320 46062074640