Search a number
-
+
11147454032 = 24111310148239
BaseRepresentation
bin10100110000111000…
…01010011001010000
31001202212220100010212
422120130022121100
5140312222012112
65042052343252
7543146536661
oct123034123120
931685810125
1011147454032
1148004a1230
1221b1314b28
131088644760
1477a6d5368
154539b9522
hex29870a650

11147454032 has 80 divisors (see below), whose sum is σ = 25625859840. Its totient is φ = 4630848000.

The previous prime is 11147454023. The next prime is 11147454121. The reversal of 11147454032 is 23045474111.

It is a self number, because there is not a number n which added to its sum of digits gives 11147454032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206969 + ... + 255207.

It is an arithmetic number, because the mean of its divisors is an integer number (320323248).

Almost surely, 211147454032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11147454032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812929920).

11147454032 is an abundant number, since it is smaller than the sum of its proper divisors (14478405808).

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

11147454032 is a wasteful number, since it uses less digits than its factorization.

11147454032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48372 (or 48366 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 11147454032 in words is "eleven billion, one hundred forty-seven million, four hundred fifty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 101 104 143 176 202 208 286 404 572 808 1111 1144 1313 1616 2222 2288 2626 4444 5252 8888 10504 14443 17776 21008 28886 48239 57772 96478 115544 192956 231088 385912 530629 627107 771824 1061258 1254214 2122516 2508428 4245032 4872139 5016856 6898177 8490064 9744278 10033712 13796354 19488556 27592708 38977112 53593529 55185416 63337807 77954224 107187058 110370832 126675614 214374116 253351228 428748232 506702456 696715877 857496464 1013404912 1393431754 2786863508 5573727016 11147454032