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61516543000 = 23531114273919
BaseRepresentation
bin111001010010101010…
…111111010000011000
312212210012020011122111
4321102222333100120
52001441213334000
644132121002104
74305302662603
oct712252772030
9185705204574
1061516543000
11240a8537290
12bb09923334
135a549c2203
142d9806133a
151900968cba
hexe52abf418

61516543000 has 128 divisors (see below), whose sum is σ = 157185100800. Its totient is φ = 22348272000.

The previous prime is 61516542977. The next prime is 61516543001. The reversal of 61516543000 is 34561516.

61516543000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61516543001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15695041 + ... + 15698959.

It is an arithmetic number, because the mean of its divisors is an integer number (1228008600).

Almost surely, 261516543000 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 61516543000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78592550400).

61516543000 is an abundant number, since it is smaller than the sum of its proper divisors (95668557800).

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

61516543000 is a wasteful number, since it uses less digits than its factorization.

61516543000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 61516543000 in words is "sixty-one billion, five hundred sixteen million, five hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1427 2200 2750 2854 3919 5500 5708 7135 7838 11000 11416 14270 15676 15697 19595 28540 31352 31394 35675 39190 43109 57080 62788 71350 78380 78485 86218 97975 125576 142700 156760 156970 172436 178375 195950 215545 285400 313940 344872 356750 391900 392425 431090 489875 627880 713500 783800 784850 862180 979750 1077725 1427000 1569700 1724360 1959500 1962125 2155450 3139400 3919000 3924250 4310900 5388625 5592413 7848500 8621800 10777250 11184826 15697000 21554500 22369652 27962065 43109000 44739304 55924130 61516543 111848260 123033086 139810325 223696520 246066172 279620650 307582715 492132344 559241300 615165430 699051625 1118482600 1230330860 1398103250 1537913575 2460661720 2796206500 3075827150 5592413000 6151654300 7689567875 12303308600 15379135750 30758271500 61516543000