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11890060032 = 283174321179
BaseRepresentation
bin10110001001011001…
…11110101100000000
31010200122020122001210
423010230332230000
5143322323410112
65243501130120
7600434562024
oct130454765400
933618218053
1011890060032
1150516a10a4
122379b59940
1311764508a6
1480b1a0384
15498ca5b3c
hex2c4b3eb00

11890060032 has 144 divisors (see below), whose sum is σ = 34287200640. Its totient is φ = 3643293696.

The previous prime is 11890059997. The next prime is 11890060033. The reversal of 11890060032 is 23006009811.

It is not an unprimeable number, because it can be changed into a prime (11890060033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550819 + ... + 571997.

It is an arithmetic number, because the mean of its divisors is an integer number (238105560).

Almost surely, 211890060032 is an apocalyptic number.

11890060032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11890060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17143600320).

11890060032 is an abundant number, since it is smaller than the sum of its proper divisors (22397140608).

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

11890060032 is a wasteful number, since it uses less digits than its factorization.

11890060032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21258 (or 21244 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 11890060032 its reverse (23006009811), we get a palindrome (34896069843).

The spelling of 11890060032 in words is "eleven billion, eight hundred ninety million, sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 256 258 272 344 384 408 516 544 688 731 768 816 1032 1088 1376 1462 1632 2064 2176 2193 2752 2924 3264 4128 4352 4386 5504 5848 6528 8256 8772 11008 11696 13056 16512 17544 21179 23392 33024 35088 42358 46784 63537 70176 84716 93568 127074 140352 169432 187136 254148 280704 338864 360043 508296 561408 677728 720086 910697 1016592 1080129 1355456 1440172 1821394 2033184 2160258 2710912 2732091 2880344 3642788 4066368 4320516 5421824 5464182 5760688 7285576 8132736 8641032 10928364 11521376 14571152 15481849 16265472 17282064 21856728 23042752 29142304 30963698 34564128 43713456 46085504 46445547 58284608 61927396 69128256 87426912 92171008 92891094 116569216 123854792 138256512 174853824 185782188 233138432 247709584 276513024 349707648 371564376 495419168 699415296 743128752 990838336 1486257504 1981676672 2972515008 3963353344 5945030016 11890060032