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61340606514 = 232114137919937
BaseRepresentation
bin111001001000001011…
…110110000000110010
312212022221011200011100
4321020023312000302
52001111143402024
644102434025230
74301035360335
oct711013660062
9185287150140
1061340606514
112401819a630
12ba7aa18216
135a27411a95
142d7c94461c
1518e02b47c9
hexe482f6032

61340606514 has 96 divisors (see below), whose sum is σ = 148922504640. Its totient is φ = 18085939200.

The previous prime is 61340606429. The next prime is 61340606549. The reversal of 61340606514 is 41560604316.

It is a happy number.

61340606514 is a `hidden beast` number, since 6 + 1 + 3 + 40 + 606 + 5 + 1 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3066754 + ... + 3086690.

It is an arithmetic number, because the mean of its divisors is an integer number (1551276090).

Almost surely, 261340606514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61340606514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74461252320).

61340606514 is an abundant number, since it is smaller than the sum of its proper divisors (87581898126).

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

61340606514 is a wasteful number, since it uses less digits than its factorization.

61340606514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20376 (or 20373 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 61340606514 in words is "sixty-one billion, three hundred forty million, six hundred six thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 379 451 738 758 902 1137 1353 2274 2706 3411 4059 4169 6822 8118 8338 12507 15539 19937 25014 31078 37521 39874 46617 59811 75042 93234 119622 139851 170929 179433 219307 279702 341858 358866 438614 512787 657921 817417 1025574 1315842 1538361 1634834 1973763 2452251 3076722 3947526 4904502 7356753 7556123 8991587 14713506 15112246 17983174 22668369 26974761 45336738 53949522 68005107 80924283 83117353 136010214 161848566 166234706 249352059 309801043 498704118 619602086 748056177 929403129 1496112354 1858806258 2788209387 3407811473 5576418774 6815622946 10223434419 20446868838 30670303257 61340606514