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61511152240 = 24547113144773
BaseRepresentation
bin111001010010010110…
…011011001001110000
312212202211002021220201
4321102112123021300
52001433323332430
644131405244544
74305206111236
oct712226331160
9185684067821
1061511152240
11240a549510a
12bb07b63754
135a53855605
142d9745a956
1519002518ca
hexe5259b270

61511152240 has 80 divisors (see below), whose sum is σ = 147349819008. Its totient is φ = 23867691008.

The previous prime is 61511152231. The next prime is 61511152243. The reversal of 61511152240 is 4225111516.

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

It is a junction number, because it is equal to n+sod(n) for n = 61511152199 and 61511152208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61511152243) 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 15 ways as a sum of consecutive naturals, for example, 352494 + ... + 497266.

Almost surely, 261511152240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61511152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73674909504).

61511152240 is an abundant number, since it is smaller than the sum of its proper divisors (85838666768).

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

61511152240 is a wasteful number, since it uses less digits than its factorization.

61511152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144946 (or 144940 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 61511152240 its reverse (4225111516), we get a palindrome (65736263756).

The spelling of 61511152240 in words is "sixty-one billion, five hundred eleven million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 113 188 226 235 376 452 470 565 752 904 940 1130 1808 1880 2260 3760 4520 5311 9040 10622 21244 26555 42488 53110 84976 106220 144773 212440 289546 424880 579092 723865 1158184 1447730 2316368 2895460 5790920 6804331 11581840 13608662 16359349 27217324 32718698 34021655 54434648 65437396 68043310 81796745 108869296 130874792 136086620 163593490 261749584 272173240 327186980 544346480 654373960 768889403 1308747920 1537778806 3075557612 3844447015 6151115224 7688894030 12302230448 15377788060 30755576120 61511152240