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38236424352 = 2537251226691
BaseRepresentation
bin100011100111000100…
…011000100010100000
310122200202120121111220
4203213010120202200
51111302011034402
625322055135040
72522351146560
oct434704304240
9118622517456
1038236424352
1115241512605
1274b1374480
1337b48a6689
141bca296da0
15edbc75dbc
hex8e71188a0

38236424352 has 96 divisors (see below), whose sum is σ = 115166790144. Its totient is φ = 10881120000.

The previous prime is 38236424329. The next prime is 38236424371. The reversal of 38236424352 is 25342463283.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55327 + ... + 282017.

It is an arithmetic number, because the mean of its divisors is an integer number (1199654064).

Almost surely, 238236424352 is an apocalyptic number.

38236424352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38236424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57583395072).

38236424352 is an abundant number, since it is smaller than the sum of its proper divisors (76930365792).

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

38236424352 is a wasteful number, since it uses less digits than its factorization.

38236424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226962 (or 226954 counting only the distinct ones).

The product of its digits is 829440, while the sum is 42.

The spelling of 38236424352 in words is "thirty-eight billion, two hundred thirty-six million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 251 336 502 672 753 1004 1506 1757 2008 3012 3514 4016 5271 6024 7028 8032 10542 12048 14056 21084 24096 28112 42168 56224 84336 168672 226691 453382 680073 906764 1360146 1586837 1813528 2720292 3173674 3627056 4760511 5440584 6347348 7254112 9521022 10881168 12694696 19042044 21762336 25389392 38084088 50778784 56899441 76168176 113798882 152336352 170698323 227597764 341396646 398296087 455195528 682793292 796592174 910391056 1194888261 1365586584 1593184348 1820782112 2389776522 2731173168 3186368696 4779553044 5462346336 6372737392 9559106088 12745474784 19118212176 38236424352