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45253413461400 = 2335275422355769
BaseRepresentation
bin10100100101000011000011…
…01000100101110110011000
312221020011222012011210121020
422102201201220211312120
521412412442321231100
6240125044154442440
712350310525510144
oct1222414150456630
9187204865153536
1045253413461400
1113467957165961
1250aa4b8733420
131c334bc977951
14b263c3b46224
15537229c6d5a0
hex292861a25d98

45253413461400 has 48 divisors (see below), whose sum is σ = 140285581732200. Its totient is φ = 12067576922880.

The previous prime is 45253413461363. The next prime is 45253413461401. The reversal of 45253413461400 is 416431435254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45253413461401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37711177285 + ... + 37711178484.

Almost surely, 245253413461400 is an apocalyptic number.

45253413461400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45253413461400 is an abundant number, since it is smaller than the sum of its proper divisors (95032168270800).

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

45253413461400 is a wasteful number, since it uses less digits than its factorization.

45253413461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75422355788 (or 75422355779 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 45253413461400 its reverse (416431435254), we get a palindrome (45669844896654).

The spelling of 45253413461400 in words is "forty-five trillion, two hundred fifty-three billion, four hundred thirteen million, four hundred sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 75422355769 150844711538 226267067307 301689423076 377111778845 452534134614 603378846152 754223557690 905068269228 1131335336535 1508447115380 1810136538456 1885558894225 2262670673070 3016894230760 3771117788450 4525341346140 5656676682675 7542235576900 9050682692280 11313353365350 15084471153800 22626706730700 45253413461400