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11488771080 = 2334529122273
BaseRepresentation
bin10101011001100100…
…01011110000001000
31002122200011001010000
422230302023300020
5142012111133310
65140004123000
7554462641263
oct125462136010
932580131100
1011488771080
114966125836
122287696460
13111127a6c7
147adb81cda
1547393a4c0
hex2acc8bc08

11488771080 has 160 divisors (see below), whose sum is σ = 39946915800. Its totient is φ = 2958004224.

The previous prime is 11488771079. The next prime is 11488771087. The reversal of 11488771080 is 8017788411.

11488771080 is a `hidden beast` number, since 11 + 488 + 77 + 10 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10760742756 + 728028324 = 103734^2 + 26982^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11488771087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32824 + ... + 155096.

Almost surely, 211488771080 is an apocalyptic number.

11488771080 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 11488771080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19973457900).

11488771080 is an abundant number, since it is smaller than the sum of its proper divisors (28458144720).

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

11488771080 is a wasteful number, since it uses less digits than its factorization.

11488771080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122325 (or 122312 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 11488771080 in words is "eleven billion, four hundred eighty-eight million, seven hundred seventy-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4698 5220 6264 7830 9396 10440 11745 15660 18792 23490 31320 46980 93960 122273 244546 366819 489092 611365 733638 978184 1100457 1222730 1467276 1834095 2200914 2445460 2934552 3301371 3545917 3668190 4401828 4890920 5502285 6602742 7091834 7336380 8803656 9904113 10637751 11004570 13205484 14183668 14672760 16506855 17729585 19808226 21275502 22009140 26410968 28367336 31913253 33013710 35459170 39616452 42551004 44018280 49520565 53188755 63826506 66027420 70918340 79232904 85102008 95739759 99041130 106377510 127653012 132054840 141836680 159566265 191479518 198082260 212755020 255306024 287219277 319132530 382959036 396164520 425510040 478698795 574438554 638265060 765918072 957397590 1148877108 1276530120 1436096385 1914795180 2297754216 2872192770 3829590360 5744385540 11488771080