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2147465481216 = 210311503126341
BaseRepresentation
bin11111001111111110111…
…010101100110000000000
321121021222120011110200120
4133033332322230300000
5240141002130344331
64322310530020240
7311102124261516
oct37177672546000
97537876143616
102147465481216
1175880a309510
122a8239a17680
131276749b9673
1475d1b7a64b6
153acd9313796
hex1f3feeacc00

2147465481216 has 176 divisors, whose sum is σ = 6256585214208. Its totient is φ = 649448243200.

The previous prime is 2147465481199. The next prime is 2147465481233. The reversal of 2147465481216 is 6121845647412.

It is an interprime number because it is at equal distance from previous prime (2147465481199) and next prime (2147465481233).

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×21474654812162 (a number of 25 digits) contains 22 as substring.

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, 16934206 + ... + 17060546.

Almost surely, 22147465481216 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 2147465481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128292607104).

2147465481216 is an abundant number, since it is smaller than the sum of its proper divisors (4109119732992).

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

2147465481216 is a wasteful number, since it uses less digits than its factorization.

2147465481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126878 (or 126860 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 2147465481216 in words is "two trillion, one hundred forty-seven billion, four hundred sixty-five million, four hundred eighty-one thousand, two hundred sixteen".