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1261931880132 = 2232711223731572
BaseRepresentation
bin10010010111010001000…
…000000101111011000100
311110122021012110121001200
4102113101000011323010
5131133414030131012
62403420135422500
7160112563666230
oct22272100057304
94418235417050
101261931880132
11447200714300
121846a2524a30
1391ccc35b421
14451137c35c0
1522c5bd473dc
hex125d1005ec4

1261931880132 has 648 divisors, whose sum is σ = 4265797431168. Its totient is φ = 307258997760.

The previous prime is 1261931880107. The next prime is 1261931880133. The reversal of 1261931880132 is 2310881391621.

1261931880132 is a `hidden beast` number, since 1 + 2 + 619 + 3 + 18 + 8 + 0 + 13 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261931880133) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8037782598 + ... + 8037782754.

Almost surely, 21261931880132 is an apocalyptic number.

1261931880132 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 1261931880132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132898715584).

1261931880132 is an abundant number, since it is smaller than the sum of its proper divisors (3003865551036).

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

1261931880132 is a wasteful number, since it uses less digits than its factorization.

1261931880132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1261931880132 in words is "one trillion, two hundred sixty-one billion, nine hundred thirty-one million, eight hundred eighty thousand, one hundred thirty-two".