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432212321996 = 227133791135227
BaseRepresentation
bin1100100101000011101…
…11001010011011001100
31112022121121201212121122
412102201313022123030
524040132323300441
6530320002020112
743140424056140
oct6224167123314
91468547655548
10432212321996
11157333651714
126b923047638
13319b015a4c0
1416cc2375220
15b39987534b
hex64a1dca6cc

432212321996 has 96 divisors (see below), whose sum is σ = 957155469312. Its totient is φ = 166176541440.

The previous prime is 432212321971. The next prime is 432212321999. The reversal of 432212321996 is 699123212234.

It is not an unprimeable number, because it can be changed into a prime (432212321999) 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 31 ways as a sum of consecutive naturals, for example, 12251735 + ... + 12286961.

It is an arithmetic number, because the mean of its divisors is an integer number (9970369472).

Almost surely, 2432212321996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432212321996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478577734656).

432212321996 is an abundant number, since it is smaller than the sum of its proper divisors (524943147316).

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

432212321996 is a wasteful number, since it uses less digits than its factorization.

432212321996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36199 (or 36197 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The spelling of 432212321996 in words is "four hundred thirty-two billion, two hundred twelve million, three hundred twenty-one thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 911 962 1036 1822 1924 3367 3644 6377 6734 11843 12754 13468 23686 25508 33707 35227 47372 67414 70454 82901 134828 140908 165802 235949 246589 331604 438191 457951 471898 493178 876382 915902 943796 986356 1303399 1752764 1831804 2606798 3067337 3205657 5213596 6134674 6411314 9123793 12269348 12822628 16944187 18247586 32091797 33888374 36495172 64183594 67776748 118609309 128367188 224642579 237218618 417193361 449285158 474437236 834386722 898570316 1187396489 1668773444 2374792978 2920353527 4749585956 5840707054 8311775423 11681414108 15436154357 16623550846 30872308714 33247101692 61744617428 108053080499 216106160998 432212321996