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38236424328 = 23331576411759
BaseRepresentation
bin100011100111000100…
…011000100010001000
310122200202120121111000
4203213010120202020
51111302011034303
625322055135000
72522351146524
oct434704304210
9118622517430
1038236424328
1115241512593
1274b1374460
1337b48a666b
141bca296d84
15edbc75da3
hex8e7118888

38236424328 has 128 divisors (see below), whose sum is σ = 107116416000. Its totient is φ = 12637347840.

The previous prime is 38236424299. The next prime is 38236424329. The reversal of 38236424328 is 82342463283.

38236424328 is a `hidden beast` number, since 382 + 3 + 6 + 4 + 243 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38236424329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21736713 + ... + 21738471.

It is an arithmetic number, because the mean of its divisors is an integer number (836847000).

Almost surely, 238236424328 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 38236424328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53558208000).

38236424328 is an abundant number, since it is smaller than the sum of its proper divisors (68879991672).

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

38236424328 is a wasteful number, since it uses less digits than its factorization.

38236424328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2562 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 38236424328 in words is "thirty-eight billion, two hundred thirty-six million, four hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 314 471 628 641 942 1256 1282 1413 1759 1884 1923 2564 2826 3518 3768 3846 4239 5128 5277 5652 5769 7036 7692 8478 10554 11304 11538 14072 15384 15831 16956 17307 21108 23076 31662 33912 34614 42216 46152 47493 63324 69228 94986 100637 126648 138456 189972 201274 276163 301911 379944 402548 552326 603822 805096 828489 905733 1104652 1127519 1207644 1656978 1811466 2209304 2255038 2415288 2485467 2717199 3313956 3382557 3622932 4510076 4970934 5434398 6627912 6765114 7245864 7456401 9020152 9941868 10147671 10868796 13530228 14912802 19883736 20295342 21737592 27060456 29825604 30443013 40590684 59651208 60886026 81181368 121772052 177020483 243544104 354040966 531061449 708081932 1062122898 1416163864 1593184347 2124245796 3186368694 4248491592 4779553041 6372737388 9559106082 12745474776 19118212164 38236424328