Search a number
-
+
32112033312 = 25317127154933
BaseRepresentation
bin11101111010000001…
…101011111000100000
310001212221110022102010
4131322001223320200
51011231140031222
622430240152520
72214523531242
oct357201537040
9101787408363
1032112033312
1112689450a07
126282308740
133049b07158
1417a8b48092
15c7e26b80c
hex77a06be20

32112033312 has 96 divisors (see below), whose sum is σ = 89955919872. Its totient is φ = 9994973184.

The previous prime is 32112033311. The next prime is 32112033319. The reversal of 32112033312 is 21333021123.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (32112033311) 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 15 ways as a sum of consecutive naturals, for example, 129798 + ... + 284730.

It is an arithmetic number, because the mean of its divisors is an integer number (937040832).

Almost surely, 232112033312 is an apocalyptic number.

32112033312 is a gapful number since it is divisible by the number (32) 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 32112033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44977959936).

32112033312 is an abundant number, since it is smaller than the sum of its proper divisors (57843886560).

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

32112033312 is a wasteful number, since it uses less digits than its factorization.

32112033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155090 (or 155082 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32112033312 its reverse (21333021123), we get a palindrome (53445054435).

The spelling of 32112033312 in words is "thirty-two billion, one hundred twelve million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 127 136 204 254 272 381 408 508 544 762 816 1016 1524 1632 2032 2159 3048 4064 4318 6096 6477 8636 12192 12954 17272 25908 34544 51816 69088 103632 154933 207264 309866 464799 619732 929598 1239464 1859196 2478928 2633861 3718392 4957856 5267722 7436784 7901583 10535444 14873568 15803166 19676491 21070888 31606332 39352982 42141776 59029473 63212664 78705964 84283552 118058946 126425328 157411928 236117892 252850656 314823856 334500347 472235784 629647712 669000694 944471568 1003501041 1338001388 1888943136 2007002082 2676002776 4014004164 5352005552 8028008328 10704011104 16056016656 32112033312