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11531381490 = 2325731819697
BaseRepresentation
bin10101011110101001…
…01110101011110010
31002202122022212121100
422233110232223302
5142104013201430
65144125305230
7555521061006
oct125724565362
932678285540
1011531381490
114988189652
122299a05216
13111a049475
147b56b4706
15477555960
hex2af52eaf2

11531381490 has 96 divisors (see below), whose sum is σ = 30563363376. Its totient is φ = 3015843840.

The previous prime is 11531381479. The next prime is 11531381507. The reversal of 11531381490 is 9418313511.

It is a happy number.

11531381490 is a `hidden beast` number, since 1 + 1 + 531 + 3 + 81 + 49 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 437604561 + 11093776929 = 20919^2 + 105327^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1184322 + ... + 1194018.

Almost surely, 211531381490 is an apocalyptic number.

11531381490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11531381490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15281681688).

11531381490 is an abundant number, since it is smaller than the sum of its proper divisors (19031981886).

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

11531381490 is a wasteful number, since it uses less digits than its factorization.

11531381490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9964 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11531381490 in words is "eleven billion, five hundred thirty-one million, three hundred eighty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 181 219 362 365 438 543 657 730 905 1086 1095 1314 1629 1810 2190 2715 3258 3285 5430 6570 8145 9697 13213 16290 19394 26426 29091 39639 48485 58182 66065 79278 87273 96970 118917 132130 145455 174546 198195 237834 290910 396390 436365 594585 707881 872730 1189170 1415762 1755157 2123643 3510314 3539405 4247286 5265471 6370929 7078810 8775785 10530942 10618215 12741858 15796413 17551570 21236430 26327355 31592826 31854645 52654710 63709290 78982065 128126461 157964130 256252922 384379383 640632305 768758766 1153138149 1281264610 1921896915 2306276298 3843793830 5765690745 11531381490