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1974106368 = 283213173877
BaseRepresentation
bin111010110101010…
…0111100100000000
312002120121222211200
41311222213210000
513020332400433
6523515541200
766630425103
oct16552474400
95076558750
101974106368
11923371373
1247115a800
13255cac4a0
1414a27873a
15b849a613
hex75aa7900

1974106368 has 216 divisors, whose sum is σ = 6491911608. Its totient is φ = 571539456.

The previous prime is 1974106297. The next prime is 1974106373. The reversal of 1974106368 is 8636014791.

It is a happy number.

1974106368 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 1 + 0 + 636 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91240704 + 1882865664 = 9552^2 + 43392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507246 + ... + 511122.

Almost surely, 21974106368 is an apocalyptic number.

1974106368 is a gapful number since it is divisible by the number (18) 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 1974106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245955804).

1974106368 is an abundant number, since it is smaller than the sum of its proper divisors (4517805240).

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

1974106368 is a wasteful number, since it uses less digits than its factorization.

1974106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1974106368 is about 44430.9168035052. The cubic root of 1974106368 is about 1254.4600923073.

The spelling of 1974106368 in words is "one billion, nine hundred seventy-four million, one hundred six thousand, three hundred sixty-eight".