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61387709472 = 25322926327947
BaseRepresentation
bin111001001010111111…
…100001110000100000
312212110012210202021100
4321022333201300200
52001210223200342
644111235354400
74302146630625
oct711277416040
9185405722240
1061387709472
11240418417a1
12ba92752a00
135a340c465b
142d84cc634c
1518e44bae4c
hexe4afe1c20

61387709472 has 144 divisors (see below), whose sum is σ = 181284143040. Its totient is φ = 19681138176.

The previous prime is 61387709447. The next prime is 61387709479. The reversal of 61387709472 is 27490778316.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (61387709479) 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, 2182603 + ... + 2210549.

It is an arithmetic number, because the mean of its divisors is an integer number (1258917660).

Almost surely, 261387709472 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 61387709472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90642071520).

61387709472 is an abundant number, since it is smaller than the sum of its proper divisors (119896433568).

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

61387709472 is a wasteful number, since it uses less digits than its factorization.

61387709472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28255 (or 28244 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 61387709472 in words is "sixty-one billion, three hundred eighty-seven million, seven hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 263 288 348 464 522 526 696 789 928 1044 1052 1392 1578 2088 2104 2367 2784 3156 4176 4208 4734 6312 7627 8352 8416 9468 12624 15254 18936 22881 25248 27947 30508 37872 45762 55894 61016 68643 75744 83841 91524 111788 122032 137286 167682 183048 223576 244064 251523 274572 335364 366096 447152 503046 549144 670728 732192 810463 894304 1006092 1098288 1341456 1620926 2012184 2196576 2431389 2682912 3241852 4024368 4862778 6483704 7294167 7350061 8048736 9725556 12967408 14588334 14700122 19451112 22050183 25934816 29176668 29400244 38902224 44100366 58353336 58800488 66150549 77804448 88200732 116706672 117600976 132301098 176401464 213151769 233413344 235201952 264602196 352802928 426303538 529204392 639455307 705605856 852607076 1058408784 1278910614 1705214152 1918365921 2116817568 2557821228 3410428304 3836731842 5115642456 6820856608 7673463684 10231284912 15346927368 20462569824 30693854736 61387709472