Search a number
-
+
55657553501253 = 3117189331806369
BaseRepresentation
bin11001010011110110010001…
…01101001001110001000101
321022001210212121012020102210
430221323020231021301011
524243343132144020003
6314212421015254033
714503061026626504
oct1451731055116105
9238053777166383
1055657553501253
1116809265a64510
1262aa98207a319
13250963c085412
14da5ba8c0283b
15667ba9c93503
hex329ec8b49c45

55657553501253 has 64 divisors (see below), whose sum is σ = 83270023833600. Its totient is φ = 32783697408000.

The previous prime is 55657553501237. The next prime is 55657553501281. The reversal of 55657553501253 is 35210535575655.

It is not a de Polignac number, because 55657553501253 - 24 = 55657553501237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55657553501193 and 55657553501202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55657553501203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68619253 + ... + 69425621.

It is an arithmetic number, because the mean of its divisors is an integer number (1301094122400).

Almost surely, 255657553501253 is an apocalyptic number.

It is an amenable number.

55657553501253 is a deficient number, since it is larger than the sum of its proper divisors (27612470332347).

55657553501253 is a wasteful number, since it uses less digits than its factorization.

55657553501253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806874.

The product of its (nonzero) digits is 59062500, while the sum is 57.

The spelling of 55657553501253 in words is "fifty-five trillion, six hundred fifty-seven billion, five hundred fifty-three million, five hundred one thousand, two hundred fifty-three".

Divisors: 1 3 11 33 71 89 213 267 331 781 979 993 2343 2937 3641 6319 10923 18957 23501 29459 69509 70503 88377 208527 258511 324049 775533 806369 972147 2091589 2419107 6274767 8870059 23007479 26610177 57252199 69022437 71766841 171756597 215300523 266908139 629774189 789435251 800724417 1889322567 2368305753 2935989529 5095445711 8807968587 15286337133 18950477869 23754824371 56049902821 56851433607 71264473113 168149708463 208455256559 261303068081 625365769677 783909204243 1686592530341 5059777591023 18552517833751 55657553501253