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3505125312 = 2636135779
BaseRepresentation
bin1101000011101011…
…1111011111000000
3100001021111211000000
43100322333133000
524134303002222
61335451000000
7152601034143
oct32072773700
910037454000
103505125312
111539608587
12819a39000
1343b242460
1425373405a
15157ac09ac
hexd0ebf7c0

3505125312 has 196 divisors, whose sum is σ = 11232586120. Its totient is φ = 1078313472.

The previous prime is 3505125287. The next prime is 3505125343. The reversal of 3505125312 is 2135215053.

It is a happy number.

3505125312 is a `hidden beast` number, since 3 + 505 + 125 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 603639 + ... + 609417.

Almost surely, 23505125312 is an apocalyptic number.

3505125312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3505125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616293060).

3505125312 is an abundant number, since it is smaller than the sum of its proper divisors (7727460808).

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

3505125312 is an equidigital number, since it uses as much as digits as its factorization.

3505125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 3505125312 is about 59204.0987770273. The cubic root of 3505125312 is about 1519.0352418976.

The spelling of 3505125312 in words is "three billion, five hundred five million, one hundred twenty-five thousand, three hundred twelve".