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46027940736480 = 2535701136792501
BaseRepresentation
bin10100111011100101101110…
…00011101010110111100000
320000222020011022220001002120
422131302313003222313200
522013110210312031410
6241520535530144240
712460260164643063
oct1235626703526740
9200866138801076
1046027940736480
111373638166637a
1251b4634282080
131c8b554495611
14b51a9b02c8da
1554c45bb11570
hex29dcb70eade0

46027940736480 has 96 divisors (see below), whose sum is σ = 145194844642848. Its totient is φ = 12256608000000.

The previous prime is 46027940736473. The next prime is 46027940736497. The reversal of 46027940736480 is 8463704972064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68059771 + ... + 68732730.

It is an arithmetic number, because the mean of its divisors is an integer number (1512446298363).

Almost surely, 246027940736480 is an apocalyptic number.

46027940736480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46027940736480 is an abundant number, since it is smaller than the sum of its proper divisors (99166903906368).

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

46027940736480 is a wasteful number, since it uses less digits than its factorization.

46027940736480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136793220 (or 136793212 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 46027940736480 in words is "forty-six trillion, twenty-seven billion, nine hundred forty million, seven hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 701 1402 2103 2804 3505 4206 5608 7010 8412 10515 11216 14020 16824 21030 22432 28040 33648 42060 56080 67296 84120 112160 168240 336480 136792501 273585002 410377503 547170004 683962505 820755006 1094340008 1367925010 1641510012 2051887515 2188680016 2735850020 3283020024 4103775030 4377360032 5471700040 6566040048 8207550060 10943400080 13132080096 16415100120 21886800160 32830200240 65660400480 95891543201 191783086402 287674629603 383566172804 479457716005 575349259206 767132345608 958915432010 1150698518412 1438373148015 1534264691216 1917830864020 2301397036824 2876746296030 3068529382432 3835661728040 4602794073648 5753492592060 7671323456080 9205588147296 11506985184120 15342646912160 23013970368240 46027940736480