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11004640425 = 3352531392213
BaseRepresentation
bin10100011111110110…
…10111110010101001
31001101221011122201000
422033323113302221
5140014141443200
65015551345213
7536463620532
oct121773276251
931357148630
1011004640425
114737918259
122171522209
131064b9086c
1476575b689
154461a9300
hex28fed7ca9

11004640425 has 96 divisors (see below), whose sum is σ = 20754921600. Its totient is φ = 5714392320.

The previous prime is 11004640417. The next prime is 11004640441. The reversal of 11004640425 is 52404640011.

11004640425 is a `hidden beast` number, since 1 + 10 + 0 + 4 + 640 + 4 + 2 + 5 = 666.

It is not a de Polignac number, because 11004640425 - 23 = 11004640417 is a prime.

It is a super-2 number, since 2×110046404252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4971619 + ... + 4973831.

It is an arithmetic number, because the mean of its divisors is an integer number (216197100).

Almost surely, 211004640425 is an apocalyptic number.

11004640425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11004640425 is a deficient number, since it is larger than the sum of its proper divisors (9750281175).

11004640425 is a wasteful number, since it uses less digits than its factorization.

11004640425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 11004640425 in words is "eleven billion, four million, six hundred forty thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 53 75 135 139 159 225 265 417 477 675 695 795 1251 1325 1431 2085 2213 2385 3475 3753 3975 6255 6639 7155 7367 10425 11065 11925 18765 19917 22101 31275 33195 35775 36835 55325 59751 66303 93825 99585 110505 117289 165975 184175 198909 298755 307607 331515 351867 497925 552525 586445 922821 994545 1055601 1493775 1538035 1657575 1759335 2768463 2932225 3166803 4614105 4972725 5278005 7690175 8305389 8796675 13842315 15834015 16303171 23070525 26390025 41526945 48909513 69211575 79170075 81515855 146728539 207634725 244547565 407579275 440185617 733642695 1222737825 2200928085 3668213475 11004640425