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76214341152 = 25359801227
BaseRepresentation
bin100011011111010111…
…0101000111000100000
321021201111201200100000
41012332232220320200
52222041332404102
655002401500000
75335443132225
oct1067656507040
9237644650300
1076214341152
112a360010604
1212930041600
137257a4c1b1
14399009b94c
151eb0e8701c
hex11beba8e20

76214341152 has 72 divisors (see below), whose sum is σ = 224761760496. Its totient is φ = 25404777792.

The previous prime is 76214341139. The next prime is 76214341153. The reversal of 76214341152 is 25114341267.

76214341152 is a `hidden beast` number, since 76 + 2 + 1 + 434 + 1 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76214341153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4892838 + ... + 4908389.

It is an arithmetic number, because the mean of its divisors is an integer number (3121691118).

Almost surely, 276214341152 is an apocalyptic number.

76214341152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76214341152 is an abundant number, since it is smaller than the sum of its proper divisors (148547419344).

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

76214341152 is an equidigital number, since it uses as much as digits as its factorization.

76214341152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9801252 (or 9801232 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 76214341152 in words is "seventy-six billion, two hundred fourteen million, three hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 9801227 19602454 29403681 39204908 58807362 78409816 88211043 117614724 156819632 176422086 235229448 264633129 313639264 352844172 470458896 529266258 705688344 793899387 940917792 1058532516 1411376688 1587798774 2117065032 2381698161 2822753376 3175597548 4234130064 4763396322 6351195096 8468260128 9526792644 12702390192 19053585288 25404780384 38107170576 76214341152