Search a number
-
+
11270572128 = 253239133931
BaseRepresentation
bin10100111111100011…
…10100100001100000
31002002110120101102100
422133301310201200
5141040231302003
65102211250400
7546203165604
oct123761644140
932073511370
1011270572128
114863a42722
1222265a9a00
1310a7cc09ba
1478cbc3504
1545e6d8ba3
hex29fc74860

11270572128 has 36 divisors (see below), whose sum is σ = 32050690308. Its totient is φ = 3756857280.

The previous prime is 11270572087. The next prime is 11270572213. The reversal of 11270572128 is 82127507211.

11270572128 is a `hidden beast` number, since 1 + 1 + 2 + 70 + 572 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×112705721283 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11270572092 and 11270572101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19566678 + ... + 19567253.

It is an arithmetic number, because the mean of its divisors is an integer number (890296953).

Almost surely, 211270572128 is an apocalyptic number.

11270572128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11270572128 is an abundant number, since it is smaller than the sum of its proper divisors (20780118180).

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

11270572128 is a wasteful number, since it uses less digits than its factorization.

11270572128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39133947 (or 39133936 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 11270572128 in words is "eleven billion, two hundred seventy million, five hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 39133931 78267862 117401793 156535724 234803586 313071448 352205379 469607172 626142896 704410758 939214344 1252285792 1408821516 1878428688 2817643032 3756857376 5635286064 11270572128