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2505105042 = 231137956137
BaseRepresentation
bin1001010101010000…
…1101111010010010
320110120210112002020
42111110031322102
520112301330132
61052325032310
7116036020146
oct22524157222
96416715066
102505105042
111076080550
1259ab55696
1330bcc8c9b
1419a9bd226
15e9dd852c
hex9550de92

2505105042 has 16 divisors (see below), whose sum is σ = 5465683872. Its totient is φ = 759122720.

The previous prime is 2505105041. The next prime is 2505105059. The reversal of 2505105042 is 2405015052.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2505105041) 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, 18978003 + ... + 18978134.

It is an arithmetic number, because the mean of its divisors is an integer number (341605242).

Almost surely, 22505105042 is an apocalyptic number.

2505105042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2505105042 is an abundant number, since it is smaller than the sum of its proper divisors (2960578830).

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

2505105042 is a wasteful number, since it uses less digits than its factorization.

2505105042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37956153.

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2505105042 is about 50051.0243851212. The cubic root of 2505105042 is about 1358.1319945909.

It can be divided in two parts, 250510 and 5042, that added together give a palindrome (255552).

The spelling of 2505105042 in words is "two billion, five hundred five million, one hundred five thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 37956137 75912274 113868411 227736822 417517507 835035014 1252552521 2505105042