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11452520000 = 2654893217
BaseRepresentation
bin10101010101001111…
…11001011001000000
31002120010221021222102
422222213321121000
5141423321120000
65132231125532
7553542546065
oct125247713100
932503837872
1011452520000
114947715869
1222775138a8
1311068c736c
147a9026c6c
154706793d5
hex2aa9f9640

11452520000 has 140 divisors (see below), whose sum is σ = 28726538940. Its totient is φ = 4528128000.

The previous prime is 11452519993. The next prime is 11452520063. The reversal of 11452520000 is 2525411.

It can be written as a sum of positive squares in 10 ways, for example, as 8127383104 + 3325136896 = 90152^2 + 57664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3558392 + ... + 3561608.

Almost surely, 211452520000 is an apocalyptic number.

11452520000 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 11452520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14363269470).

11452520000 is an abundant number, since it is smaller than the sum of its proper divisors (17274018940).

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

11452520000 is an frugal number, since it uses more digits than its factorization.

11452520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 11452520000 in words is "eleven billion, four hundred fifty-two million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 160 178 200 250 320 356 400 445 500 625 712 800 890 1000 1250 1424 1600 1780 2000 2225 2500 2848 3217 3560 4000 4450 5000 5696 6434 7120 8000 8900 10000 11125 12868 14240 16085 17800 20000 22250 25736 28480 32170 35600 40000 44500 51472 55625 64340 71200 80425 89000 102944 111250 128680 142400 160850 178000 205888 222500 257360 286313 321700 356000 402125 445000 514720 572626 643400 712000 804250 890000 1029440 1145252 1286800 1431565 1608500 1780000 2010625 2290504 2573600 2863130 3217000 3560000 4021250 4581008 5147200 5726260 6434000 7157825 8042500 9162016 11452520 12868000 14315650 16085000 18324032 22905040 25736000 28631300 32170000 35789125 45810080 57262600 64340000 71578250 91620160 114525200 128680000 143156500 178945625 229050400 286313000 357891250 458100800 572626000 715782500 1145252000 1431565000 2290504000 2863130000 5726260000 11452520000