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102946627505 = 528173271621
BaseRepresentation
bin101111111100000011…
…0001101111110110001
3100211201112020112021202
41133320012031332301
53141313314040010
6115143143300545
710303053616151
oct1377006157661
9324645215252
10102946627505
113a728761a47
1217b5074a755
139928127807
144da8532761
152a27c896a5
hex17f818dfb1

102946627505 has 8 divisors (see below), whose sum is σ = 123975584424. Its totient is φ = 82064214400.

The previous prime is 102946627501. The next prime is 102946627529. The reversal of 102946627505 is 505726649201.

It can be written as a sum of positive squares in 4 ways, for example, as 1726568704 + 101220058801 = 41552^2 + 318151^2 .

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

It is not a de Polignac number, because 102946627505 - 22 = 102946627501 is a prime.

It is a super-2 number, since 2×1029466275052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102946627505.

It is not an unprimeable number, because it can be changed into a prime (102946627501) 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, 36634406 + ... + 36637215.

It is an arithmetic number, because the mean of its divisors is an integer number (15496948053).

Almost surely, 2102946627505 is an apocalyptic number.

It is an amenable number.

102946627505 is a deficient number, since it is larger than the sum of its proper divisors (21028956919).

102946627505 is an equidigital number, since it uses as much as digits as its factorization.

102946627505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73271907.

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 102946627505 in words is "one hundred two billion, nine hundred forty-six million, six hundred twenty-seven thousand, five hundred five".

Divisors: 1 5 281 1405 73271621 366358105 20589325501 102946627505