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10480257181673 = 175311631805973
BaseRepresentation
bin1001100010000010000000…
…0000011010011111101001
31101002220101010211212202022
42120200200000122133221
52333202031314303143
634142321431114225
72131113354132566
oct230404000323751
941086333755668
1010480257181673
113380719a60934
121213188b12975
135b038cc86b76
1428336629586d
151329376ac268
hex9882001a7e9

10480257181673 has 8 divisors (see below), whose sum is σ = 11306115406728. Its totient is φ = 9677662568704.

The previous prime is 10480257181657. The next prime is 10480257181679. The reversal of 10480257181673 is 37618175208401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5289319221904 + 5190937959769 = 2299852^2 + 2278363^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10480257181673 - 24 = 10480257181657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10480257181679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5815902086 + ... + 5815903887.

It is an arithmetic number, because the mean of its divisors is an integer number (1413264425841).

Almost surely, 210480257181673 is an apocalyptic number.

It is an amenable number.

10480257181673 is a deficient number, since it is larger than the sum of its proper divisors (825858225055).

10480257181673 is a wasteful number, since it uses less digits than its factorization.

10480257181673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11631806043.

The product of its (nonzero) digits is 2257920, while the sum is 53.

The spelling of 10480257181673 in words is "ten trillion, four hundred eighty billion, two hundred fifty-seven million, one hundred eighty-one thousand, six hundred seventy-three".

Divisors: 1 17 53 901 11631805973 197740701541 616485716569 10480257181673