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61348421520 = 243553155783
BaseRepresentation
bin111001001000101001…
…101001111110010000
312212100110212201100000
4321020221221332100
52001120143442040
644103313330000
74301161656531
oct711051517620
9185313781300
1061348421520
1124021648111
12ba81566900
135a28c19c49
142d7d9ba688
1518e0d0a130
hexe48a69f90

61348421520 has 120 divisors (see below), whose sum is σ = 213659199936. Its totient is φ = 16359573888.

The previous prime is 61348421507. The next prime is 61348421527. The reversal of 61348421520 is 2512484316.

It is a happy number.

61348421520 is a `hidden beast` number, since 6 + 1 + 34 + 84 + 21 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×613484215202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61348421527) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1558452 + ... + 1597331.

Almost surely, 261348421520 is an apocalyptic number.

61348421520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61348421520 is an abundant number, since it is smaller than the sum of its proper divisors (152310778416).

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

61348421520 is a wasteful number, since it uses less digits than its factorization.

61348421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155811 (or 3155793 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 61348421520 in words is "sixty-one billion, three hundred forty-eight million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 3155783 6311566 9467349 12623132 15778915 18934698 25246264 28402047 31557830 37869396 47336745 50492528 56804094 63115660 75738792 85206141 94673490 113608188 126231320 142010235 151477584 170412282 189346980 227216376 252462640 255618423 284020470 340824564 378693960 426030705 454432752 511236846 568040940 681649128 757387920 766855269 852061410 1022473692 1136081880 1278092115 1363298256 1533710538 1704122820 2044947384 2272163760 2556184230 3067421076 3408245640 3834276345 4089894768 5112368460 6134842152 6816491280 7668552690 10224736920 12269684304 15337105380 20449473840 30674210760 61348421520