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38046062916 = 2232192292592
BaseRepresentation
bin100011011011101110…
…001101100101000100
310122012111101020201100
4203123232031211010
51110404243003131
625251135100100
72514550125141
oct433356154504
9118174336640
1038046062916
1115154013204
127459671630
133784315584
141bacca33c8
15eca1c27e6
hex8dbb8d944

38046062916 has 243 divisors, whose sum is σ = 106932679581. Its totient is φ = 11403637056.

The previous prime is 38046062909. The next prime is 38046062953. The reversal of 38046062916 is 61926064083.

The square root of 38046062916 is 195054.

It is a perfect power (a square), and thus also a powerful number.

38046062916 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 6 + 0 + 629 + 16 = 666.

38046062916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19950432516 + 18095630400 = 141246^2 + 134520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 644848495 + ... + 644848553.

Almost surely, 238046062916 is an apocalyptic number.

38046062916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38046062916 is the 195054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38046062916

38046062916 is an abundant number, since it is smaller than the sum of its proper divisors (68886616665).

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

38046062916 is a wasteful number, since it uses less digits than its factorization.

38046062916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38046062916 in words is "thirty-eight billion, forty-six million, sixty-two thousand, nine hundred sixteen".