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11207140452 = 22331718733259
BaseRepresentation
bin10100110111111111…
…10110010001100100
31001221001012201112000
422123333312101210
5140423011443302
65052023525300
7544503056604
oct123377662144
931831181460
1011207140452
114831158552
1222092b9830
131097b11a71
147845d0c04
15458d5931c
hex29bff6464

11207140452 has 96 divisors (see below), whose sum is σ = 30790569600. Its totient is φ = 3513010176.

The previous prime is 11207140433. The next prime is 11207140457. The reversal of 11207140452 is 25404170211.

11207140452 is a `hidden beast` number, since 1 + 1 + 207 + 1 + 4 + 0 + 452 = 666.

It is a super-2 number, since 2×112071404522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11207140457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3437199 + ... + 3440457.

It is an arithmetic number, because the mean of its divisors is an integer number (320735100).

Almost surely, 211207140452 is an apocalyptic number.

11207140452 is a gapful number since it is divisible by the number (12) 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 11207140452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15395284800).

11207140452 is an abundant number, since it is smaller than the sum of its proper divisors (19583429148).

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

11207140452 is a wasteful number, since it uses less digits than its factorization.

11207140452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 11207140452 in words is "eleven billion, two hundred seven million, one hundred forty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 1873 3259 3746 5619 6518 7492 9777 11238 13036 16857 19554 22476 29331 31841 33714 39108 50571 55403 58662 63682 67428 87993 95523 101142 110806 117324 127364 166209 175986 191046 202284 221612 286569 332418 351972 382092 498627 573138 664836 859707 997254 1146276 1495881 1719414 1994508 2991762 3438828 5983524 6104107 12208214 18312321 24416428 36624642 54936963 73249284 103769819 109873926 164810889 207539638 219747852 311309457 329621778 415079276 622618914 659243556 933928371 1245237828 1867856742 2801785113 3735713484 5603570226 11207140452