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505251426432 = 2731315758923
BaseRepresentation
bin1110101101000110101…
…01001111000010000000
31210022010211200211000210
413112203111033002000
531234223331121212
61024035335314120
751334413156444
oct7264325170200
91708124624023
10505251426432
11185304292945
1281b0781b940
13388500cb3ac
141a650852824
15d221ba153c
hex75a354f080

505251426432 has 32 divisors (see below), whose sum is σ = 1342074102480. Its totient is φ = 168417142016.

The previous prime is 505251426401. The next prime is 505251426437. The reversal of 505251426432 is 234624152505.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (505251426437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657879078 + ... + 657879845.

Almost surely, 2505251426432 is an apocalyptic number.

It is an amenable number.

505251426432 is an abundant number, since it is smaller than the sum of its proper divisors (836822676048).

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

505251426432 is a wasteful number, since it uses less digits than its factorization.

505251426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315758940 (or 1315758928 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 505251426432 its reverse (234624152505), we get a palindrome (739875578937).

The spelling of 505251426432 in words is "five hundred five billion, two hundred fifty-one million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1315758923 2631517846 3947276769 5263035692 7894553538 10526071384 15789107076 21052142768 31578214152 42104285536 63156428304 84208571072 126312856608 168417142144 252625713216 505251426432