Search a number
-
+
11725000833 = 3713192299871
BaseRepresentation
bin10101110101101110…
…10101000010000001
31010021010122202102010
422322313111002001
5143003100011313
65215243243133
7563361601620
oct127267250201
933233582363
1011725000833
114a77503737
1223328194a9
13114b1ab420
147d32b56b7
1548954e4c3
hex2badd5081

11725000833 has 64 divisors (see below), whose sum is σ = 20344217600. Its totient is φ = 5832933120.

The previous prime is 11725000801. The next prime is 11725000867. The reversal of 11725000833 is 33800052711.

It is not a de Polignac number, because 11725000833 - 25 = 11725000801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11725000833.

It is not an unprimeable number, because it can be changed into a prime (11725000883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1182888 + ... + 1192758.

It is an arithmetic number, because the mean of its divisors is an integer number (317878400).

Almost surely, 211725000833 is an apocalyptic number.

11725000833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11725000833 is the 62517-th octagonal number.

It is an amenable number.

11725000833 is a deficient number, since it is larger than the sum of its proper divisors (8619216767).

11725000833 is a wasteful number, since it uses less digits than its factorization.

11725000833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142.

The product of its (nonzero) digits is 5040, while the sum is 30.

It can be divided in two parts, 1172 and 5000833, that added together give a palindrome (5002005).

The spelling of 11725000833 in words is "eleven billion, seven hundred twenty-five million, eight hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 7 13 19 21 39 57 91 133 229 247 273 399 687 741 1603 1729 2977 4351 4809 5187 8931 9871 13053 20839 29613 30457 56563 62517 69097 91371 128323 169689 187549 207291 384969 395941 562647 898261 1187823 1312843 2260459 2438137 2694783 3938529 6781377 7314411 15823213 17066959 29385967 42948721 47469639 51200877 88157901 128846163 205701769 300641047 558333373 617105307 901923141 1675000119 3908333611 11725000833