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431264106870 = 235239448313417
BaseRepresentation
bin1100100011010010101…
…10000000100101110110
31112020011112111112222220
412101221112000211312
524031212102404440
6530041530303210
743105061265432
oct6215126004566
91466145445886
10431264106870
11156997388653
126b6b9587b06
133188b881c6c
1416c324679c2
15b3414c28d0
hex6469580976

431264106870 has 64 divisors (see below), whose sum is σ = 1039673871360. Its totient is φ = 114488494848.

The previous prime is 431264106859. The next prime is 431264106899. The reversal of 431264106870 is 78601462134.

431264106870 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32136402 + ... + 32149818.

It is an arithmetic number, because the mean of its divisors is an integer number (16244904240).

Almost surely, 2431264106870 is an apocalyptic number.

431264106870 is an abundant number, since it is smaller than the sum of its proper divisors (608409764490).

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

431264106870 is a wasteful number, since it uses less digits than its factorization.

431264106870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18149.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 431264106870 in words is "four hundred thirty-one billion, two hundred sixty-four million, one hundred six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 239 478 717 1195 1434 2390 3585 4483 7170 8966 13417 13449 22415 26834 26898 40251 44830 67085 67245 80502 134170 134490 201255 402510 1071437 2142874 3206663 3214311 5357185 6413326 6428622 9619989 10714370 16033315 16071555 19239978 32066630 32143110 48099945 60148411 96199890 120296822 180445233 300742055 360890466 601484110 902226165 1804452330 14375470229 28750940458 43126410687 71877351145 86252821374 143754702290 215632053435 431264106870