Search a number
-
+
64102401137635 = 5722767369725577
BaseRepresentation
bin11101001001101000000001…
…10110010101101111100011
322101222010111112212222202121
432210310000312111233203
531400223204142401020
6344200123032125111
716334150154312400
oct1644640066255743
9271863445788677
1064102401137635
1119474748329043
127233584536797
13299caa4780053
1411b88039712a7
157626b5995baa
hex3a4d00d95be3

64102401137635 has 48 divisors (see below), whose sum is σ = 89541771387264. Its totient is φ = 43926443624448.

The previous prime is 64102401137581. The next prime is 64102401137641. The reversal of 64102401137635 is 53673110420146.

It is a happy number.

64102401137635 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64102401137635 - 223 = 64102392749027 is a prime.

It is a super-2 number, since 2×641024011376352 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64102401137591 and 64102401137600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2506238967 + ... + 2506264543.

It is an arithmetic number, because the mean of its divisors is an integer number (1865453570568).

Almost surely, 264102401137635 is an apocalyptic number.

64102401137635 is a deficient number, since it is larger than the sum of its proper divisors (25439370249629).

64102401137635 is a wasteful number, since it uses less digits than its factorization.

64102401137635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32060 (or 32053 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 64102401137635 in words is "sixty-four trillion, one hundred two billion, four hundred one million, one hundred thirty-seven thousand, six hundred thirty-five".

Divisors: 1 5 7 35 49 245 2767 3697 13835 18485 19369 25577 25879 96845 127885 129395 135583 179039 181153 677915 895195 905765 1253273 6266365 10229599 51147995 70771559 71607193 94558169 353857795 358035965 472790845 495400913 501250351 661907183 2477004565 2506251755 3309535915 3467806391 4633350281 17339031955 23166751405 261642453623 1308212268115 1831497175361 9157485876805 12820480227527 64102401137635