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11625403041 = 337717971087
BaseRepresentation
bin10101101001110110…
…11001001010100001
31010000012020122221000
422310323121022201
5142302100344131
65201324422213
7561042203220
oct126473311241
933005218830
1011625403041
114a2626740a
1223053a7969
131133678a15
147c3d8acb7
15480928ce6
hex2b4ed92a1

11625403041 has 64 divisors (see below), whose sum is σ = 20003880960. Its totient is φ = 6535287360.

The previous prime is 11625403037. The next prime is 11625403091. The reversal of 11625403041 is 14030452611.

It is a happy number.

11625403041 is a `hidden beast` number, since 1 + 1 + 625 + 4 + 0 + 30 + 4 + 1 = 666.

11625403041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11625403041 - 22 = 11625403037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11625402996 and 11625403014.

It is not an unprimeable number, because it can be changed into a prime (11625403001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10694400 + ... + 10695486.

It is an arithmetic number, because the mean of its divisors is an integer number (312560640).

Almost surely, 211625403041 is an apocalyptic number.

It is an amenable number.

11625403041 is a deficient number, since it is larger than the sum of its proper divisors (8378477919).

11625403041 is a wasteful number, since it uses less digits than its factorization.

11625403041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11625403041 its reverse (14030452611), we get a palindrome (25655855652).

The spelling of 11625403041 in words is "eleven billion, six hundred twenty-five million, four hundred three thousand, forty-one".

Divisors: 1 3 7 9 21 27 63 71 189 213 497 639 797 1087 1491 1917 2391 3261 4473 5579 7173 7609 9783 13419 16737 21519 22827 29349 50211 56587 68481 77177 150633 169761 205443 231531 396109 509283 540239 694593 866339 1188327 1527849 1620717 2083779 2599017 3564981 4862151 6064373 7797051 10694943 14586453 18193119 23391153 54579357 61510069 163738071 184530207 430570483 553590621 1291711449 1660771863 3875134347 11625403041