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55960433406955 = 57111735743146297
BaseRepresentation
bin11001011100101010011011…
…10000010011001111101011
321100010202122211011122010001
430232111031300103033223
524313323431423010310
6315003511311003431
714534002464431530
oct1456251560231753
9240122584148101
1055960433406955
1116915760855570
12633960bb09577
13252c07a73a72c
14db66dc608d87
156709d51c293a
hex32e54dc133eb

55960433406955 has 64 divisors (see below), whose sum is σ = 84221806399488. Its totient is φ = 34676505768960.

The previous prime is 55960433406901. The next prime is 55960433406971.

55960433406955 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55960433406955 - 27 = 55960433406827 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382439367 + ... + 382585663.

It is an arithmetic number, because the mean of its divisors is an integer number (1315965724992).

Almost surely, 255960433406955 is an apocalyptic number.

55960433406955 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55960433406955 is a deficient number, since it is larger than the sum of its proper divisors (28261372992533).

55960433406955 is a wasteful number, since it uses less digits than its factorization.

55960433406955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152236.

The product of its (nonzero) digits is 262440000, while the sum is 64.

The spelling of 55960433406955 in words is "fifty-five trillion, nine hundred sixty billion, four hundred thirty-three million, four hundred six thousand, nine hundred fifty-five".

Divisors: 1 5 7 11 35 55 77 173 385 865 1211 1903 5743 6055 9515 13321 28715 40201 63173 66605 146297 201005 315865 442211 731485 993539 1024079 1609267 2211055 4967695 5120395 6954773 8046335 10928929 11264869 25309381 34773865 54644645 56324345 76502503 126546905 177165667 278403191 382512515 840183671 885828335 1392015955 1948822337 4200918355 5881285697 9242020381 9744111685 29406428485 46210101905 64694142667 145351775083 323470713335 726758875415 1017462425581 1598869525913 5087312127905 7994347629565 11192086681391 55960433406955