Search a number
-
+
15256994208255 = 335985911463107
BaseRepresentation
bin1101111000000100101110…
…1110000101100111111111
32000000112222011021211101000
43132001023232011213333
53444432311004131010
652240544423221343
73133165353004062
oct336011356054777
960015864254330
1015256994208255
114952500532a28
121864aa85a7853
13868961337327
143aa62a1768d9
151b6d095017c0
hexde04bb859ff

15256994208255 has 32 divisors (see below), whose sum is σ = 27126298771200. Its totient is φ = 8136237524256.

The previous prime is 15256994208241. The next prime is 15256994208257. The reversal of 15256994208255 is 55280249965251.

It is a happy number.

15256994208255 is a `hidden beast` number, since 1 + 5 + 2 + 569 + 9 + 42 + 0 + 8 + 25 + 5 = 666.

It is not a de Polignac number, because 15256994208255 - 26 = 15256994208191 is a prime.

It is a super-2 number, since 2×152569942082552 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15256994208192 and 15256994208201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15256994208257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4400589 + ... + 7062518.

It is an arithmetic number, because the mean of its divisors is an integer number (847696836600).

Almost surely, 215256994208255 is an apocalyptic number.

15256994208255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15256994208255 is a deficient number, since it is larger than the sum of its proper divisors (11869304562945).

15256994208255 is a wasteful number, since it uses less digits than its factorization.

15256994208255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11472980 (or 11472974 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 15256994208255 in words is "fifteen trillion, two hundred fifty-six billion, nine hundred ninety-four million, two hundred eight thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 9859 29577 49295 88731 147885 266193 443655 1330965 11463107 34389321 57315535 103167963 171946605 309503889 515839815 1547519445 113014771913 339044315739 565073859565 1017132947217 1695221578695 3051398841651 5085664736085 15256994208255