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255005430552 = 2336127344293
BaseRepresentation
bin1110110101111110000…
…0100001001100011000
3220101012202201002000000
43231133200201030120
513134222342234202
6313051535213000
724265162252515
oct3553740411430
9811182632000
10255005430552
1199168a10314
1241508977160
131b07c09c512
14c4b14c830c
15697749491c
hex3b5f821318

255005430552 has 112 divisors (see below), whose sum is σ = 722521616640. Its totient is φ = 84332259648.

The previous prime is 255005430551. The next prime is 255005430557. The reversal of 255005430552 is 255034500552.

255005430552 is a `hidden beast` number, since 2 + 5 + 50 + 0 + 54 + 3 + 0 + 552 = 666.

It is a super-2 number, since 2×2550054305522 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255005430551) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 568518 + ... + 912810.

Almost surely, 2255005430552 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 255005430552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361260808320).

255005430552 is an abundant number, since it is smaller than the sum of its proper divisors (467516186088).

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

255005430552 is a wasteful number, since it uses less digits than its factorization.

255005430552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344444 (or 344425 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The spelling of 255005430552 in words is "two hundred fifty-five billion, five million, four hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 243 254 324 381 486 508 648 729 762 972 1016 1143 1458 1524 1944 2286 2916 3048 3429 4572 5832 6858 9144 10287 13716 20574 27432 30861 41148 61722 82296 92583 123444 185166 246888 344293 370332 688586 740664 1032879 1377172 2065758 2754344 3098637 4131516 6197274 8263032 9295911 12394548 18591822 24789096 27887733 37183644 43725211 55775466 74367288 83663199 87450422 111550932 131175633 167326398 174900844 223101864 250989597 262351266 334652796 349801688 393526899 501979194 524702532 669305592 787053798 1003958388 1049405064 1180580697 1574107596 2007916776 2361161394 3148215192 3541742091 4722322788 7083484182 9444645576 10625226273 14166968364 21250452546 28333936728 31875678819 42500905092 63751357638 85001810184 127502715276 255005430552