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557253210217 = 1117318310111467
BaseRepresentation
bin10000001101111101110…
…00010011000001101001
31222021100221020010202211
420012332320103001221
533112223310211332
61103555410125121
755155153063514
oct10067670230151
91867327203684
10557253210217
111a5369a00760
128bbbab807a1
13407197bb362
141cd84d83d7b
15e76715c447
hex81bee13069

557253210217 has 64 divisors (see below), whose sum is σ = 679158079488. Its totient is φ = 451301760000.

The previous prime is 557253210211. The next prime is 557253210221. The reversal of 557253210217 is 712012352755.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-557253210217 is a prime.

It is a super-2 number, since 2×5572532102172 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 557253210217.

It is not an unprimeable number, because it can be changed into a prime (557253210211) 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, 48590518 + ... + 48601984.

It is an arithmetic number, because the mean of its divisors is an integer number (10611844992).

Almost surely, 2557253210217 is an apocalyptic number.

It is an amenable number.

557253210217 is a deficient number, since it is larger than the sum of its proper divisors (121904869271).

557253210217 is a wasteful number, since it uses less digits than its factorization.

557253210217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11710.

The product of its (nonzero) digits is 147000, while the sum is 40.

The spelling of 557253210217 in words is "five hundred fifty-seven billion, two hundred fifty-three million, two hundred ten thousand, two hundred seventeen".

Divisors: 1 11 17 31 83 101 187 341 527 913 1111 1411 1717 2573 3131 5797 8383 11467 15521 18887 28303 34441 43741 53227 92213 126137 142511 194939 259873 355477 481151 585497 951761 1158167 1567621 2144329 2858603 3910247 4417841 6043109 10469371 12739837 16179937 19688839 29504591 35903177 48596251 66474199 96127861 177979307 216577229 324550501 394934947 501578047 610354009 1057406471 1634173637 2979963691 5517358517 6713894099 17975910007 32779600601 50659382747 557253210217