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2135811456 = 27331736353
BaseRepresentation
bin111111101001101…
…1110010110000000
312111211220110112000
41333103132112000
513333231431311
6551533504000
7103633045362
oct17723362600
95454813460
102135811456
119a6678839
124b7342000
1328064907c
1416392cd32
15c778d056
hex7f4de580

2135811456 has 128 divisors (see below), whose sum is σ = 6674594400. Its totient is φ = 670040064.

The previous prime is 2135811427. The next prime is 2135811467. The reversal of 2135811456 is 6541185312.

2135811456 is a `hidden beast` number, since 2 + 13 + 581 + 14 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×21358114563 (a number of 29 digits) contains 333 as substring.

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 2135811456.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40576 + ... + 76928.

Almost surely, 22135811456 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 2135811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337297200).

2135811456 is an abundant number, since it is smaller than the sum of its proper divisors (4538782944).

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

2135811456 is a wasteful number, since it uses less digits than its factorization.

2135811456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36393 (or 36375 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 2135811456 is about 46214.8402139399. The cubic root of 2135811456 is about 1287.8174451606.

Adding to 2135811456 its reverse (6541185312), we get a palindrome (8676996768).

The spelling of 2135811456 in words is "two billion, one hundred thirty-five million, eight hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 36353 58752 72706 109059 145412 218118 290824 327177 436236 581648 618001 654354 872472 981531 1163296 1236002 1308708 1744944 1854003 1963062 2326592 2472004 2617416 3489888 3708006 3926124 4653184 4944008 5234832 5562009 6979776 7416012 7852248 9888016 10469664 11124018 13959552 14832024 15704496 16686027 19776032 20939328 22248036 29664048 31408992 33372054 39552064 41878656 44496072 59328096 62817984 66744108 79104128 88992144 118656192 125635968 133488216 177984288 237312384 266976432 355968576 533952864 711937152 1067905728 2135811456