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11782409004 = 223210727111287
BaseRepresentation
bin10101111100100100…
…10100101100101100
31010102010200101121200
422332102110230230
5143112244042004
65225053525500
7564656552442
oct127622245454
933363611550
1011782409004
114aa6954303
122349aa3890
13115a05b762
147dab7ab92
1548e5de239
hex2be494b2c

11782409004 has 72 divisors (see below), whose sum is σ = 30175262208. Its totient is φ = 3876063840.

The previous prime is 11782408969. The next prime is 11782409039. The reversal of 11782409004 is 40090428711.

11782409004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11782408969) and next prime (11782409039).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11782409004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038249 + ... + 1049535.

It is an arithmetic number, because the mean of its divisors is an integer number (419100864).

Almost surely, 211782409004 is an apocalyptic number.

It is an amenable number.

11782409004 is an abundant number, since it is smaller than the sum of its proper divisors (18392853204).

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

11782409004 is a wasteful number, since it uses less digits than its factorization.

11782409004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11675 (or 11670 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11782409004 in words is "eleven billion, seven hundred eighty-two million, four hundred nine thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 271 321 428 542 642 813 963 1084 1284 1626 1926 2439 3252 3852 4878 9756 11287 22574 28997 33861 45148 57994 67722 86991 101583 115988 135444 173982 203166 260973 347964 406332 521946 1043892 1207709 2415418 3058777 3623127 4830836 6117554 7246254 9176331 10869381 12235108 14492508 18352662 21738762 27528993 36705324 43477524 55057986 110115972 327289139 654578278 981867417 1309156556 1963734834 2945602251 3927469668 5891204502 11782409004