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38412228399984 = 24322371112505941
BaseRepresentation
bin10001011101111100010110…
…01110101001001101110000
312001000011200020112121120100
420232332023032221031300
520013321220432244414
6213410200100312400
711043122554113405
oct1056761316511560
9161004606477510
1038412228399984
111126a59758857a
1243846696a2700
131858346c2517a
1496b239ca22ac
154692cbe72609
hex22ef8b3a9370

38412228399984 has 60 divisors (see below), whose sum is σ = 107546230052872. Its totient is φ = 12798675734400.

The previous prime is 38412228399977. The next prime is 38412228400061. The reversal of 38412228399984 is 48999382221483.

38412228399984 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 2 + 228 + 399 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55911547 + ... + 56594394.

Almost surely, 238412228399984 is an apocalyptic number.

It is an amenable number.

38412228399984 is an abundant number, since it is smaller than the sum of its proper divisors (69134001652888).

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

38412228399984 is a wasteful number, since it uses less digits than its factorization.

38412228399984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112508326 (or 112508317 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 38412228399984 in words is "thirty-eight trillion, four hundred twelve billion, two hundred twenty-eight million, three hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2371 4742 7113 9484 14226 18968 21339 28452 37936 42678 56904 85356 113808 170712 341424 112505941 225011882 337517823 450023764 675035646 900047528 1012553469 1350071292 1800095056 2025106938 2700142584 4050213876 5400285168 8100427752 16200855504 266751586111 533503172222 800254758333 1067006344444 1600509516666 2134012688888 2400764274999 3201019033332 4268025377776 4801528549998 6402038066664 9603057099996 12804076133328 19206114199992 38412228399984