Search a number
-
+
11122562952 = 233613812
BaseRepresentation
bin10100101101111010…
…01101011110001000
31001201011001202000000
422112331031132020
5140234334003302
65035403043000
7542425140144
oct122675153610
931634052000
1011122562952
114798440196
1221a4b10460
13108343acc7
14777296224
154516ee31c
hex296f4d788

11122562952 has 84 divisors (see below), whose sum is σ = 31290562485. Its totient is φ = 3704836320.

The previous prime is 11122562947. The next prime is 11122562963. The reversal of 11122562952 is 25926522111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11122562952 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 2 + 562 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11099465316 + 23097636 = 105354^2 + 4806^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74574.

It is a super-2 number, since 2×111225629522 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8053302 + ... + 8054682.

Almost surely, 211122562952 is an apocalyptic number.

11122562952 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 11122562952

11122562952 is an abundant number, since it is smaller than the sum of its proper divisors (20167999533).

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

11122562952 is an frugal number, since it uses more digits than its factorization.

11122562952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 1386 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 11122562952 in words is "eleven billion, one hundred twenty-two million, five hundred sixty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1381 1458 1944 2762 2916 4143 5524 5832 8286 11048 12429 16572 24858 33144 37287 49716 74574 99432 111861 149148 223722 298296 335583 447444 671166 894888 1006749 1342332 1907161 2013498 2684664 3814322 4026996 5721483 7628644 8053992 11442966 15257288 17164449 22885932 34328898 45771864 51493347 68657796 102986694 137315592 154480041 205973388 308960082 411946776 463440123 617920164 926880246 1235840328 1390320369 1853760492 2780640738 3707520984 5561281476 11122562952