Search a number
-
+
11375631252 = 2234433892099
BaseRepresentation
bin10101001100000101…
…00101101110010100
31002100210020221110000
422212002211232110
5141244130200002
65120443131300
7551620161456
oct124602455624
932323227400
1011375631252
11490827a147
122255813b30
1310c39b616b
1479cb302d6
15468a3c61c
hex2a60a5b94

11375631252 has 120 divisors (see below), whose sum is σ = 30522492000. Its totient is φ = 3692412864.

The previous prime is 11375631233. The next prime is 11375631269. The reversal of 11375631252 is 25213657311.

11375631252 is a `hidden beast` number, since 1 + 1 + 37 + 563 + 12 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5418499 + ... + 5420597.

It is an arithmetic number, because the mean of its divisors is an integer number (254354100).

Almost surely, 211375631252 is an apocalyptic number.

11375631252 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 11375631252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261246000).

11375631252 is an abundant number, since it is smaller than the sum of its proper divisors (19146860748).

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

11375631252 is a wasteful number, since it uses less digits than its factorization.

11375631252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2536 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The spelling of 11375631252 in words is "eleven billion, three hundred seventy-five million, six hundred thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 389 516 774 778 1161 1167 1548 1556 2099 2322 2334 3483 3501 4198 4644 4668 6297 6966 7002 8396 10503 12594 13932 14004 16727 18891 21006 25188 31509 33454 37782 42012 50181 56673 63018 66908 75564 90257 100362 113346 126036 150543 170019 180514 200724 226692 270771 301086 340038 361028 451629 541542 602172 680076 812313 816511 903258 1083084 1354887 1624626 1633022 1806516 2436939 2449533 2709774 3249252 3266044 4873878 4899066 5419548 7310817 7348599 9747756 9798132 14621634 14697198 22045797 29243268 29394396 35109973 44091594 66137391 70219946 88183188 105329919 132274782 140439892 210659838 264549564 315989757 421319676 631979514 947969271 1263959028 1895938542 2843907813 3791877084 5687815626 11375631252