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85342363632 = 24323119117913
BaseRepresentation
bin100111101111011001…
…1010001111111110000
322011021122201021011200
41033132303101333300
52344240121114012
6103112235011200
76110602056531
oct1173663217760
9264248637150
1085342363632
11332145a2a39
1214658b99b00
138080ba4b26
1441b84ba688
1523475013dc
hex13decd1ff0

85342363632 has 60 divisors (see below), whose sum is σ = 246544618944. Its totient is φ = 27529793280.

The previous prime is 85342363619. The next prime is 85342363643. The reversal of 85342363632 is 23636324358.

85342363632 is a `hidden beast` number, since 8 + 5 + 3 + 4 + 2 + 3 + 6 + 3 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9554493 + ... + 9563420.

Almost surely, 285342363632 is an apocalyptic number.

It is an amenable number.

85342363632 is an abundant number, since it is smaller than the sum of its proper divisors (161202255312).

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

85342363632 is a wasteful number, since it uses less digits than its factorization.

85342363632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19117958 (or 19117949 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 85342363632 in words is "eighty-five billion, three hundred forty-two million, three hundred sixty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 19117913 38235826 57353739 76471652 114707478 152943304 172061217 229414956 305886608 344122434 458829912 592655303 688244868 917659824 1185310606 1376489736 1777965909 2370621212 2752979472 3555931818 4741242424 5333897727 7111863636 9482484848 10667795454 14223727272 21335590908 28447454544 42671181816 85342363632