Search a number
-
+
551320503345 = 32541210172161
BaseRepresentation
bin10000000010111010100…
…00110100010000110001
31221201001110210101220200
420001131100310100301
533013101022101340
61101134555425413
754555143646153
oct10013520642061
91851043711820
10551320503345
111a28a5062227
128aa24155269
133ccb2654011
141c981090ad3
15e51b3b8330
hex805d434431

551320503345 has 72 divisors (see below), whose sum is σ = 989210262456. Its totient is φ = 284021760000.

The previous prime is 551320503323. The next prime is 551320503401. The reversal of 551320503345 is 543305023155.

551320503345 is a `hidden beast` number, since 5 + 513 + 20 + 50 + 33 + 45 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 129766373361 + 421554129984 = 360231^2 + 649272^2 .

It is not a de Polignac number, because 551320503345 - 220 = 551319454769 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7604065 + ... + 7676225.

It is an arithmetic number, because the mean of its divisors is an integer number (13739031423).

Almost surely, 2551320503345 is an apocalyptic number.

It is an amenable number.

551320503345 is a deficient number, since it is larger than the sum of its proper divisors (437889759111).

551320503345 is a wasteful number, since it uses less digits than its factorization.

551320503345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72355 (or 72311 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 551320503345 in words is "five hundred fifty-one billion, three hundred twenty million, five hundred three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 41 45 101 123 205 303 369 505 615 909 1515 1681 1845 4141 4545 5043 8405 12423 15129 20705 25215 37269 62115 72161 75645 169781 186345 216483 360805 509343 649449 848905 1082415 1528029 2546715 2958601 3247245 7288261 7640145 8875803 14793005 21864783 26627409 36441305 44379015 65594349 109323915 121302641 133137045 298818701 327971745 363907923 606513205 896456103 1091723769 1494093505 1819539615 2689368309 4482280515 5458618845 12251566741 13446841545 36754700223 61257833705 110264100669 183773501115 551320503345