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83432788344 = 2335383311197
BaseRepresentation
bin100110110110011111…
…0110101000101111000
321222100120111210100000
41031230332311011320
52331332243211334
6102154542113000
76012353666613
oct1155476650570
9258316453300
1083432788344
11324246a7844
121420557b760
137b3839ab19
144076a3d17a
152284a51299
hex136cfb5178

83432788344 has 96 divisors (see below), whose sum is σ = 234414900720. Its totient is φ = 27801190656.

The previous prime is 83432788331. The next prime is 83432788349. The reversal of 83432788344 is 44388723438.

It is a happy number.

It is a super-2 number, since 2×834327883442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83432788349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7445754 + ... + 7456950.

Almost surely, 283432788344 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 83432788344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117207450360).

83432788344 is an abundant number, since it is smaller than the sum of its proper divisors (150982112376).

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

83432788344 is a wasteful number, since it uses less digits than its factorization.

83432788344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15051 (or 15035 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 83432788344 in words is "eighty-three billion, four hundred thirty-two million, seven hundred eighty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 3833 7666 11197 11499 15332 22394 22998 30664 33591 34497 44788 45996 67182 68994 89576 91992 100773 103491 134364 137988 201546 206982 268728 275976 302319 310473 403092 413964 604638 620946 806184 827928 906957 931419 1209276 1241892 1813914 1862838 2418552 2483784 2720871 3627828 3725676 5441742 7255656 7451352 10883484 21766968 42918101 85836202 128754303 171672404 257508606 343344808 386262909 515017212 772525818 1030034424 1158788727 1545051636 2317577454 3090103272 3476366181 4635154908 6952732362 9270309816 10429098543 13905464724 20858197086 27810929448 41716394172 83432788344