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132252948566112 = 25311709176642503
BaseRepresentation
bin11110000100100010001010…
…000001010001000001100000
3122100021020222101012200011110
4132010202022001101001200
5114313313014313103422
61145140055452343320
736566650232433123
oct3604421201210140
9570236871180143
10132252948566112
113915a184702660
12129bb610a74b40
1358a4526a219ca
142493110cb83ba
15104530917460c
hex78488a051060

132252948566112 has 96 divisors (see below), whose sum is σ = 379258521788160. Its totient is φ = 40020125253120.

The previous prime is 132252948566071. The next prime is 132252948566117. The reversal of 132252948566112 is 211665849252231.

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

It is a super-2 number, since 2×1322529485661122 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132252948566117) 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, 87572548 + ... + 89069955.

It is an arithmetic number, because the mean of its divisors is an integer number (3950609601960).

Almost surely, 2132252948566112 is an apocalyptic number.

132252948566112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132252948566112 is an abundant number, since it is smaller than the sum of its proper divisors (247005573222048).

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

132252948566112 is a wasteful number, since it uses less digits than its factorization.

132252948566112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176643236 (or 176643228 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 57.

The spelling of 132252948566112 in words is "one hundred thirty-two trillion, two hundred fifty-two billion, nine hundred forty-eight million, five hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 709 1056 1418 2127 2836 4254 5672 7799 8508 11344 15598 17016 22688 23397 31196 34032 46794 62392 68064 93588 124784 187176 249568 374352 748704 176642503 353285006 529927509 706570012 1059855018 1413140024 1943067533 2119710036 2826280048 3886135066 4239420072 5652560096 5829202599 7772270132 8478840144 11658405198 15544540264 16957680288 23316810396 31089080528 46633620792 62178161056 93267241584 125239534627 186534483168 250479069254 375718603881 500958138508 751437207762 1001916277016 1377634880897 1502874415524 2003832554032 2755269761794 3005748831048 4007665108064 4132904642691 5510539523588 6011497662096 8265809285382 11021079047176 12022995324192 16531618570764 22042158094352 33063237141528 44084316188704 66126474283056 132252948566112