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11531480640 = 263516373693
BaseRepresentation
bin10101011110101010…
…00110111001000000
31002202122111220121120
422233111012321000
5142104024340030
65144131352240
7555521653041
oct125725067100
932678456546
1011531480640
114988247099
122299a52680
13111a082634
147b56dc8c8
15477575010
hex2af546e40

11531480640 has 112 divisors (see below), whose sum is σ = 36837567168. Its totient is φ = 3056154624.

The previous prime is 11531480633. The next prime is 11531480641. The reversal of 11531480640 is 4608413511.

It is not an unprimeable number, because it can be changed into a prime (11531480641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119634 + ... + 193326.

Almost surely, 211531480640 is an apocalyptic number.

11531480640 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 11531480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18418783584).

11531480640 is an abundant number, since it is smaller than the sum of its proper divisors (25306086528).

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

11531480640 is a wasteful number, since it uses less digits than its factorization.

11531480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73876 (or 73866 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 11531480640 in words is "eleven billion, five hundred thirty-one million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 163 192 240 320 326 480 489 652 815 960 978 1304 1630 1956 2445 2608 3260 3912 4890 5216 6520 7824 9780 10432 13040 15648 19560 26080 31296 39120 52160 73693 78240 147386 156480 221079 294772 368465 442158 589544 736930 884316 1105395 1179088 1473860 1768632 2210790 2358176 2947720 3537264 4421580 4716352 5895440 7074528 8843160 11790880 12011959 14149056 17686320 23581760 24023918 35372640 36035877 48047836 60059795 70745280 72071754 96095672 120119590 144143508 180179385 192191344 240239180 288287016 360358770 384382688 480478360 576574032 720717540 768765376 960956720 1153148064 1441435080 1921913440 2306296128 2882870160 3843826880 5765740320 11531480640