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61281720513 = 321317234331153
BaseRepresentation
bin111001000100101011…
…001101100011000001
312212011211100221202100
4321010223031203001
52001001110024023
644052531541013
74266422013126
oct710453154301
9185154327670
1061281720513
1123a97a2a712
12ba6315a769
135a18164bb0
142d74bb674d
1518da031c43
hexe44acd8c1

61281720513 has 96 divisors (see below), whose sum is σ = 107775892224. Its totient is φ = 33159684096.

The previous prime is 61281720497. The next prime is 61281720523. The reversal of 61281720513 is 31502718216.

61281720513 is a `hidden beast` number, since 6 + 128 + 17 + 2 + 0 + 513 = 666.

It is not a de Polignac number, because 61281720513 - 24 = 61281720497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61281720523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1951545 + ... + 1982697.

It is an arithmetic number, because the mean of its divisors is an integer number (1122665544).

Almost surely, 261281720513 is an apocalyptic number.

It is an amenable number.

61281720513 is a deficient number, since it is larger than the sum of its proper divisors (46494171711).

61281720513 is a wasteful number, since it uses less digits than its factorization.

61281720513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31255 (or 31252 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 61281720513 in words is "sixty-one billion, two hundred eighty-one million, seven hundred twenty thousand, five hundred thirteen".

Divisors: 1 3 9 13 17 23 39 43 51 69 117 129 153 207 221 299 387 391 559 663 731 897 989 1173 1677 1989 2193 2691 2967 3519 5031 5083 6579 8901 9503 12857 15249 16813 28509 31153 38571 45747 50439 85527 93459 115713 151317 218569 280377 404989 529601 655707 716519 1214967 1339579 1588803 1967121 2149557 3644901 4018737 4766409 6448671 6884813 9314747 12056211 12180823 17414527 20654439 22772843 27944241 30810317 36542469 52243581 61963317 68318529 83832723 92430951 109627407 156730743 158350699 204955587 277292853 296046959 400534121 475052097 523775389 888140877 1201602363 1425156291 1571326167 2664422631 3604807089 4713978501 6809080057 20427240171 61281720513