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21507006741451 = 7112982911618143
BaseRepresentation
bin1001110001111011111010…
…11111110011101111001011
32211011001100021111222200221
410320331331133303233023
510304332322211211301
6113424103230410511
74346554450665040
oct470757537635713
984131307458627
1021507006741451
116942085689a40
1224b4251060a37
13c001432238aa
14544d322bb1c7
152746a742bda1
hex138f7d7f3bcb

21507006741451 has 32 divisors (see below), whose sum is σ = 27772011417600. Its totient is φ = 16161300247680.

The previous prime is 21507006741433. The next prime is 21507006741487. The reversal of 21507006741451 is 15414760070512.

It is not a de Polignac number, because 21507006741451 - 211 = 21507006739403 is a prime.

It is a super-2 number, since 2×215070067414512 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21507006741398 and 21507006741407.

It is not an unprimeable number, because it can be changed into a prime (21507006741491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3957915 + ... + 7660228.

It is an arithmetic number, because the mean of its divisors is an integer number (867875356800).

Almost surely, 221507006741451 is an apocalyptic number.

21507006741451 is a deficient number, since it is larger than the sum of its proper divisors (6265004676149).

21507006741451 is a wasteful number, since it uses less digits than its factorization.

21507006741451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619019.

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 21507006741451 in words is "twenty-one trillion, five hundred seven billion, six million, seven hundred forty-one thousand, four hundred fifty-one".

Divisors: 1 7 11 29 77 203 319 829 2233 5803 9119 24041 63833 168287 264451 1851157 11618143 81327001 127799573 336926147 894597011 2358483029 3706187617 9631440547 25943313319 67420083829 105945846017 279311775863 741620922119 1955182431041 3072429534493 21507006741451