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10042531152255 = 3257487521125651
BaseRepresentation
bin1001001000100011010110…
…0000001000000101111111
31022120001112021002122110200
42102020311200020011333
52304014100433333010
633205250343134543
72054356166231610
oct222106540100577
938501467078420
1010042531152255
113222017033228
121162387444453
1357b0117267c4
1426a0bd939c07
15126368c5acc0
hex9223580817f

10042531152255 has 96 divisors (see below), whose sum is σ = 19973046832128. Its totient is φ = 4572614592000.

The previous prime is 10042531152223. The next prime is 10042531152259. The reversal of 10042531152255 is 55225113524001.

10042531152255 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 253 + 1 + 152 + 255 = 666.

It is not a de Polignac number, because 10042531152255 - 25 = 10042531152223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042531152259) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79861180 + ... + 79986830.

It is an arithmetic number, because the mean of its divisors is an integer number (208052571168).

Almost surely, 210042531152255 is an apocalyptic number.

10042531152255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10042531152255 is a deficient number, since it is larger than the sum of its proper divisors (9930515679873).

10042531152255 is a wasteful number, since it uses less digits than its factorization.

10042531152255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126677 (or 126674 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 10042531152255 its reverse (55225113524001), we get a palindrome (65267644676256).

The spelling of 10042531152255 in words is "ten trillion, forty-two billion, five hundred thirty-one million, one hundred fifty-two thousand, two hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 487 521 1461 1563 2435 2605 3409 3647 4383 4689 7305 7815 10227 10941 17045 18235 21915 23445 30681 32823 51135 54705 125651 153405 164115 253727 376953 628255 761181 879557 1130859 1268635 1776089 1884765 2283543 2638671 3805905 4397785 5328267 5654295 7916013 8880445 11417715 13193355 15984801 26641335 39580065 61192037 65464171 79924005 183576111 196392513 305960185 327320855 428344259 458249197 550728333 589177539 917880555 981962565 1285032777 1374747591 2141721295 2291245985 2753641665 2945887695 3855098331 4124242773 6425163885 6873737955 19275491655 20621213865 31881051277 95643153831 159405256385 223167358939 286929461493 478215769155 669502076817 1115836794695 1434647307465 2008506230451 3347510384085 10042531152255