Search a number
-
+
55435688653455 = 32511990111311109
BaseRepresentation
bin11001001101011001000001…
…00001111011001010001111
321021021121012110100012102200
430212230200201323022033
524231224242243402310
6313522445341452543
714451045020553525
oct1446544041731217
9237247173305380
1055435688653455
1116733164048570
126273983b71153
1324c1741c14ba6
14d9915ccc2315
15662021eda9c0
hex326b2087b28f

55435688653455 has 48 divisors (see below), whose sum is σ = 104834444101920. Its totient is φ = 26875192608000.

The previous prime is 55435688653399. The next prime is 55435688653483.

55435688653455 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 5 + 6 + 8 + 86 + 534 + 5 + 5 = 666.

55435688653455 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55435688653455 - 210 = 55435688652431 is a prime.

It is a congruent number.

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, 754560 + ... + 10556549.

It is an arithmetic number, because the mean of its divisors is an integer number (2184050918790).

Almost surely, 255435688653455 is an apocalyptic number.

55435688653455 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55435688653455 is a deficient number, since it is larger than the sum of its proper divisors (49398755448465).

55435688653455 is a wasteful number, since it uses less digits than its factorization.

55435688653455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11321032 (or 11321029 counting only the distinct ones).

The product of its digits is 5184000000, while the sum is 72.

The spelling of 55435688653455 in words is "fifty-five trillion, four hundred thirty-five billion, six hundred eighty-eight million, six hundred fifty-three thousand, four hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 9901 29703 49505 89109 108911 148515 326733 445545 544555 980199 1633665 4900995 11311109 33933327 56555545 101799981 124422199 169666635 373266597 508999905 622110995 1119799791 1866332985 5598998955 111991290209 335973870627 559956451045 1007921611881 1231904192299 1679869353135 3695712576897 5039608059405 6159520961495 11087137730691 18478562884485 55435688653455