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11481825520 = 2451124725237
BaseRepresentation
bin10101011000101111…
…01100000011110000
31002122012002011121001
422230113230003300
5142003321404040
65135155211344
7554346622654
oct125427540360
932565064531
1011481825520
114962211500
1222852a6b54
13110c9b81c9
147acc94a64
1547301759a
hex2ac5ec0f0

11481825520 has 120 divisors (see below), whose sum is σ = 29968206912. Its totient is φ = 4086213120.

The previous prime is 11481825503. The next prime is 11481825521. The reversal of 11481825520 is 2552818411.

It is a self number, because there is not a number n which added to its sum of digits gives 11481825520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11481825521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442342 + ... + 467578.

Almost surely, 211481825520 is an apocalyptic number.

11481825520 is a gapful number since it is divisible by the number (10) 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 11481825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984103456).

11481825520 is an abundant number, since it is smaller than the sum of its proper divisors (18486381392).

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

11481825520 is a wasteful number, since it uses less digits than its factorization.

11481825520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25319 (or 25302 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 37.

The spelling of 11481825520 in words is "eleven billion, four hundred eighty-one million, eight hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 121 176 188 220 235 242 376 440 470 484 517 605 752 880 940 968 1034 1210 1880 1936 2068 2420 2585 3760 4136 4840 5170 5687 8272 9680 10340 11374 20680 22748 25237 28435 41360 45496 50474 56870 90992 100948 113740 126185 201896 227480 252370 277607 403792 454960 504740 555214 1009480 1110428 1186139 1388035 2018960 2220856 2372278 2776070 3053677 4441712 4744556 5552140 5930695 6107354 9489112 11104280 11861390 12214708 13047529 15268385 18978224 22208560 23722780 24429416 26095058 30536770 47445560 48858832 52190116 61073540 65237645 94891120 104380232 122147080 130475290 143522819 208760464 244294160 260950580 287045638 521901160 574091276 717614095 1043802320 1148182552 1435228190 2296365104 2870456380 5740912760 11481825520