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1269949968 = 243371923312
BaseRepresentation
bin100101110110001…
…1110011000010000
310021111122010212000
41023230132120100
510100101344333
6330003234000
743320253020
oct11354363020
93244563760
101269949968
115a1943231
122b5378900
131731462b1
14c093ba80
1576756713
hex4bb1e610

1269949968 has 480 divisors, whose sum is σ = 4728268800. Its totient is φ = 318193920.

The previous prime is 1269949939. The next prime is 1269949979. The reversal of 1269949968 is 8699499621.

It is a super-2 number, since 2×12699499682 = 3225545842446402048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (15116544) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40966113 + ... + 40966143.

It is an arithmetic number, because the mean of its divisors is an integer number (9850560).

Almost surely, 21269949968 is an apocalyptic number.

1269949968 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 1269949968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364134400).

1269949968 is an abundant number, since it is smaller than the sum of its proper divisors (3458318832).

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

1269949968 is a wasteful number, since it uses less digits than its factorization.

1269949968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 85 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The square root of 1269949968 is about 35636.3573896098. The cubic root of 1269949968 is about 1082.9179118420.

The spelling of 1269949968 in words is "one billion, two hundred sixty-nine million, nine hundred forty-nine thousand, nine hundred sixty-eight".