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61321119696 = 243217190113177
BaseRepresentation
bin111001000111000001…
…100000011111010000
312212021120111122021100
4321013001200133100
52001041201312241
644100500224400
74300410626424
oct710701403720
9185246448240
1061321119696
112400819a921
12ba7439b100
135a2337b115
142d7a110b84
1518dd7159b6
hexe470607d0

61321119696 has 120 divisors (see below), whose sum is σ = 181818289224. Its totient is φ = 19226419200.

The previous prime is 61321119667. The next prime is 61321119703. The reversal of 61321119696 is 69691112316.

61321119696 is a `hidden beast` number, since 613 + 2 + 11 + 19 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7932396096 + 53388723600 = 89064^2 + 231060^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4647060 + ... + 4660236.

Almost surely, 261321119696 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 61321119696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90909144612).

61321119696 is an abundant number, since it is smaller than the sum of its proper divisors (120497169528).

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

61321119696 is a wasteful number, since it uses less digits than its factorization.

61321119696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15109 (or 15100 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The spelling of 61321119696 in words is "sixty-one billion, three hundred twenty-one million, one hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1901 2448 3802 5703 7604 11406 13177 15208 17109 22812 26354 30416 32317 34218 39531 45624 52708 64634 68436 79062 91248 96951 105416 118593 129268 136872 158124 193902 210832 224009 237186 258536 273744 290853 316248 387804 448018 474372 517072 581706 632496 672027 775608 896036 948744 1163412 1344054 1551216 1792072 1897488 2016081 2326824 2688108 3584144 4032162 4653648 5376216 8064324 10752432 16128648 25049477 32257296 50098954 75148431 100197908 150296862 200395816 225445293 300593724 400791632 425841109 450890586 601187448 851682218 901781172 1202374896 1277523327 1703364436 1803562344 2555046654 3406728872 3607124688 3832569981 5110093308 6813457744 7665139962 10220186616 15330279924 20440373232 30660559848 61321119696