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61881214392 = 23324188723633
BaseRepresentation
bin111001101000011010…
…000110010110111000
312220201121102101202100
4321220122012112320
52003213042330032
644232225103400
74320321433524
oct715032062670
9186647371670
1061881214392
11242753722a8
12bbaba87b60
135ab24142ba
142dd066ad84
15192299e97c
hexe686865b8

61881214392 has 96 divisors (see below), whose sum is σ = 171883464480. Its totient is φ = 20100433920.

The previous prime is 61881214379. The next prime is 61881214393. The reversal of 61881214392 is 29341218816.

61881214392 is a `hidden beast` number, since 61 + 88 + 121 + 4 + 392 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61881214393) 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, 2606608 + ... + 2630240.

It is an arithmetic number, because the mean of its divisors is an integer number (1790452755).

Almost surely, 261881214392 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 61881214392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85941732240).

61881214392 is an abundant number, since it is smaller than the sum of its proper divisors (110002250088).

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

61881214392 is a wasteful number, since it uses less digits than its factorization.

61881214392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24573 (or 24566 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 61881214392 in words is "sixty-one billion, eight hundred eighty-one million, two hundred fourteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 887 984 1476 1774 2661 2952 3548 5322 7096 7983 10644 15966 21288 23633 31932 36367 47266 63864 70899 72734 94532 109101 141798 145468 189064 212697 218202 283596 290936 327303 425394 436404 567192 654606 850788 872808 968953 1309212 1701576 1937906 2618424 2906859 3875812 5813718 7751624 8720577 11627436 17441154 20962471 23254872 34882308 41924942 62887413 69764616 83849884 125774826 167699768 188662239 251549652 377324478 503099304 754648956 859461311 1509297912 1718922622 2578383933 3437845244 5156767866 6875690488 7735151799 10313535732 15470303598 20627071464 30940607196 61881214392