Search a number
-
+
61616605745401 = 7233433132166047
BaseRepresentation
bin11100000001010001110111…
…11001011101000011111001
322002011111020012022021012221
432000220323321131003321
531034011302032323101
6335014140010004041
715656436634151410
oct1600507371350371
9262144205267187
1061616605745401
11186a6501668923
126ab1864716621
13284c561bb8485
14113038c5d6477
1571cbc8e32aa1
hex380a3be5d0f9

61616605745401 has 32 divisors (see below), whose sum is σ = 70939267596288. Its totient is φ = 52425602887680.

The previous prime is 61616605745377. The next prime is 61616605745413. The reversal of 61616605745401 is 10454750661616.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61616605745401 is a prime.

It is a super-3 number, since 3×616166057454013 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (61616605745441) 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, 932887560 + ... + 932953606.

It is an arithmetic number, because the mean of its divisors is an integer number (2216852112384).

Almost surely, 261616605745401 is an apocalyptic number.

It is an amenable number.

61616605745401 is a deficient number, since it is larger than the sum of its proper divisors (9322661850887).

61616605745401 is a wasteful number, since it uses less digits than its factorization.

61616605745401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68041.

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 61616605745401 in words is "sixty-one trillion, six hundred sixteen billion, six hundred five million, seven hundred forty-five thousand, four hundred one".

Divisors: 1 7 233 433 1321 1631 3031 9247 66047 100889 307793 462329 571993 706223 2154551 4003951 15388951 28598351 87248087 107722657 133274369 200188457 610736609 932920583 6663415783 20328804271 37778421671 46643910481 142301629897 264448951697 8802372249343 61616605745401