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1016438976 = 26337174943
BaseRepresentation
bin111100100101011…
…010000011000000
32121211121110011000
4330211122003000
54040202021401
6244505452000
734121405640
oct7445320300
92554543130
101016438976
11481831713
122444a1000
131327747a7
1498dca520
155e37c186
hex3c95a0c0

1016438976 has 224 divisors, whose sum is σ = 3616634880. Its totient is φ = 273272832.

The previous prime is 1016438971. The next prime is 1016438989. The reversal of 1016438976 is 6798346101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1016438971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203161 + ... + 208103.

Almost surely, 21016438976 is an apocalyptic number.

1016438976 is a gapful number since it is divisible by the number (16) 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 1016438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808317440).

1016438976 is an abundant number, since it is smaller than the sum of its proper divisors (2600195904).

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

1016438976 is a wasteful number, since it uses less digits than its factorization.

1016438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4972 counting only the distinct ones).

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

The square root of 1016438976 is about 31881.6401083759. The cubic root of 1016438976 is about 1005.4499032644.

The spelling of 1016438976 in words is "one billion, sixteen million, four hundred thirty-eight thousand, nine hundred seventy-six".