Search a number
-
+
551354312560 = 24541883190369
BaseRepresentation
bin10000000010111110100…
…01110010011101110000
31221201010211102002102211
420001133101302131300
533013133201000220
61101142204221504
754556034221252
oct10013721623560
91851124362384
10551354312560
111a2912154627
128aa3353a894
133ccb9660a7c
141c985771cd2
15e51e345b5a
hex805f472770

551354312560 has 80 divisors (see below), whose sum is σ = 1314658668960. Its totient is φ = 214917857280.

The previous prime is 551354312549. The next prime is 551354312581. The reversal of 551354312560 is 65213453155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×5513543125603 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2801056 + ... + 2991424.

It is an arithmetic number, because the mean of its divisors is an integer number (16433233362).

Almost surely, 2551354312560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551354312560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657329334480).

551354312560 is an abundant number, since it is smaller than the sum of its proper divisors (763304356400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

551354312560 is a wasteful number, since it uses less digits than its factorization.

551354312560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191306 (or 191300 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 551354312560 in words is "five hundred fifty-one billion, three hundred fifty-four million, three hundred twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 883 1640 1766 3280 3532 4415 7064 8830 14128 17660 35320 36203 70640 72406 144812 181015 190369 289624 362030 380738 579248 724060 761476 951845 1448120 1522952 1903690 2896240 3045904 3807380 7614760 7805129 15229520 15610258 31220516 39025645 62441032 78051290 124882064 156102580 168095827 312205160 336191654 624410320 672383308 840479135 1344766616 1680958270 2689533232 3361916540 6723833080 6891928907 13447666160 13783857814 27567715628 34459644535 55135431256 68919289070 110270862512 137838578140 275677156280 551354312560