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255005342424 = 23347227324733
BaseRepresentation
bin1110110101111110000…
…0001011101011011000
3220101012202112121010000
43231133200023223120
513134222331424144
6313051533253000
724265161434550
oct3553740135330
9811182477100
10255005342424
1199168960088
1241508934160
131b07c06b381
14c4b14a4160
156977478769
hex3b5f80bad8

255005342424 has 160 divisors (see below), whose sum is σ = 816679084320. Its totient is φ = 72823670784.

The previous prime is 255005342419. The next prime is 255005342441. The reversal of 255005342424 is 424243500552.

255005342424 is a `hidden beast` number, since 25 + 500 + 53 + 42 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10297962 + ... + 10322694.

It is an arithmetic number, because the mean of its divisors is an integer number (5104244277).

Almost surely, 2255005342424 is an apocalyptic number.

255005342424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255005342424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408339542160).

255005342424 is an abundant number, since it is smaller than the sum of its proper divisors (561673741896).

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

255005342424 is a wasteful number, since it uses less digits than its factorization.

255005342424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27031 (or 27018 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 255005342424 its reverse (424243500552), we get a palindrome (679248842976).

The spelling of 255005342424 in words is "two hundred fifty-five billion, five million, three hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 2273 4536 4546 6819 9092 13638 15911 18184 20457 24733 27276 31822 40914 47733 49466 54552 61371 63644 74199 81828 95466 98932 122742 127288 143199 148398 163656 173131 184113 190932 197864 222597 245484 286398 296796 346262 368226 381864 429597 445194 490968 519393 572796 593592 667791 692524 736452 859194 890388 1038786 1145592 1288791 1335582 1385048 1472904 1558179 1718388 1780776 2003373 2077572 2577582 2671164 3116358 3436776 4006746 4155144 4674537 5155164 5342328 6232716 8013492 9349074 10310328 12465432 14023611 16026984 18698148 28047222 37396296 56094444 56218109 112188888 112436218 168654327 224872436 337308654 393526763 449744872 505962981 674617308 787053526 1011925962 1180580289 1349234616 1517888943 1574107052 2023851924 2361160578 3035777886 3148214104 3541740867 4047703848 4553666829 4722321156 6071555772 7083481734 9107333658 9444642312 10625222601 12143111544 14166963468 18214667316 21250445202 28333926936 31875667803 36429334632 42500890404 63751335606 85001780808 127502671212 255005342424