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132483313976608 = 25731156671217771
BaseRepresentation
bin11110000111111000101100…
…110111100100010100100000
3122101002021120221101001000001
4132013320230313210110200
5114331101311334222413
61145433554430505344
736622414011215530
oct3607705467442440
9571067527331001
10132483313976608
11392389489a8131
1212a381a1965254
1358c017a0265aa
1424a0325b634c0
15104b2dd3524dd
hex787e2cde4520

132483313976608 has 96 divisors (see below), whose sum is σ = 307723073753088. Its totient is φ = 54943444281600.

The previous prime is 132483313976593. The next prime is 132483313976653. The reversal of 132483313976608 is 806679313384231.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 132483313976608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108182763 + ... + 109400533.

It is an arithmetic number, because the mean of its divisors is an integer number (3205448684928).

Almost surely, 2132483313976608 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 132483313976608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153861536876544).

132483313976608 is an abundant number, since it is smaller than the sum of its proper divisors (175239759776480).

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

132483313976608 is a wasteful number, since it uses less digits than its factorization.

132483313976608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233486 (or 1233478 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 64.

The spelling of 132483313976608 in words is "one hundred thirty-two trillion, four hundred eighty-three billion, three hundred thirteen million, nine hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 15667 31334 62668 109669 125336 219338 250672 438676 485677 501344 877352 971354 1217771 1754704 1942708 2435542 3399739 3509408 3885416 4871084 6799478 7770832 8524397 9742168 13598956 15541664 17048794 19484336 27197912 34097588 37750901 38968672 54395824 68195176 75501802 108791648 136390352 151003604 264256307 272780704 302007208 528512614 604014416 1057025228 1208028832 2114050456 4228100912 8456201824 19078818257 38157636514 76315273028 133551727799 152630546056 267103455598 305261092112 534206911196 591443365967 610522184224 1068413822392 1182886731934 2136827644784 2365773463868 4140103561769 4273655289568 4731546927736 8280207123538 9463093855472 16560414247076 18926187710944 33120828494152 66241656988304 132483313976608