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1483969923072 = 211327131771733
BaseRepresentation
bin10101100110000011100…
…000000000100000000000
312020212101102012212010200
4111212003200000200000
5143303132300014242
63053420521325200
7212133105136260
oct25460340004000
95225342185120
101483969923072
1152239137532a
121bb72a636800
13a9c2635c3a0
1451b787097a0
1528904e1204c
hex15983800800

1483969923072 has 1152 divisors, whose sum is σ = 5671740372480. Its totient is φ = 362670981120.

The previous prime is 1483969923011. The next prime is 1483969923077. The reversal of 1483969923072 is 2703299693841.

1483969923072 is a `hidden beast` number, since 1 + 4 + 8 + 396 + 9 + 9 + 230 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (1483969923077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2024515218 + ... + 2024515950.

It is an arithmetic number, because the mean of its divisors is an integer number (4923385740).

Almost surely, 21483969923072 is an apocalyptic number.

1483969923072 is a gapful number since it is divisible by the number (12) 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 1483969923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835870186240).

1483969923072 is an abundant number, since it is smaller than the sum of its proper divisors (4187770449408).

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

1483969923072 is a wasteful number, since it uses less digits than its factorization.

1483969923072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1483969923072 in words is "one trillion, four hundred eighty-three billion, nine hundred sixty-nine million, nine hundred twenty-three thousand, seventy-two".