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54260641039680 = 263452093388929
BaseRepresentation
bin11000101011001100010100…
…01111000000010101000000
321010010021012100221122110000
430111212022033000111000
524103001243101232210
6311222554441240000
714300126160623265
oct1425461217002500
9233107170848400
1054260641039680
111631a899327579
1261040aaa93000
1324379ab03247a
14d5832c6a926c
1564169cc19ac0
hex31598a3c0540

54260641039680 has 140 divisors (see below), whose sum is σ = 193014646123860. Its totient is φ = 14469504270336.

The previous prime is 54260641039637. The next prime is 54260641039697. The reversal of 54260641039680 is 8693014606245.

54260641039680 is a `hidden beast` number, since 5 + 4 + 2 + 60 + 6 + 410 + 3 + 96 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18279934454016 + 35980706585664 = 4275504^2 + 5998392^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1046668545 + ... + 1046720384.

Almost surely, 254260641039680 is an apocalyptic number.

It is an amenable number.

54260641039680 is an abundant number, since it is smaller than the sum of its proper divisors (138754005084180).

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

54260641039680 is a wasteful number, since it uses less digits than its factorization.

54260641039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093388958 (or 2093388939 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 54260641039680 in words is "fifty-four trillion, two hundred sixty billion, six hundred forty-one million, thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 2093388929 4186777858 6280166787 8373555716 10466944645 12560333574 16747111432 18840500361 20933889290 25120667148 31400833935 33494222864 37681000722 41867778580 50241334296 56521501083 62801667870 66988445728 75362001444 83735557160 94202501805 100482668592 113043002166 125603335740 133976891456 150724002888 167471114320 169564503249 188405003610 200965337184 226086004332 251206671480 282607505415 301448005776 334942228640 339129006498 376810007220 401930674368 452172008664 502413342960 565215010830 602896011552 669884457280 678258012996 753620014440 847822516245 904344017328 1004826685920 1130430021660 1205792023104 1356516025992 1507240028880 1695645032490 1808688034656 2009653371840 2260860043320 2713032051984 3014480057760 3391290064980 3617376069312 4521720086640 5426064103968 6028960115520 6782580129960 9043440173280 10852128207936 13565160259920 18086880346560 27130320519840 54260641039680