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1046537428992 = 21331143197457
BaseRepresentation
bin11110011101010100111…
…11011110000000000000
310201001021222210202122020
433032222133132000000
5114121302040211432
62120434521041440
7135416113241406
oct17165237360000
93631258722566
101046537428992
1137391a106110
1214a9ab326280
13778c3875483
143891cd5d476
151c35214422c
hexf3aa7de000

1046537428992 has 448 divisors, whose sum is σ = 3137747652864. Its totient is φ = 307510640640.

The previous prime is 1046537428973. The next prime is 1046537428999. The reversal of 1046537428992 is 2998247356401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046537428999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2290016028 + ... + 2290016484.

It is a 1-persistent number, because it is pandigital, but 2⋅1046537428992 = 2093074857984 is not.

Almost surely, 21046537428992 is an apocalyptic number.

1046537428992 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 1046537428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568873826432).

1046537428992 is an abundant number, since it is smaller than the sum of its proper divisors (2091210223872).

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

1046537428992 is a wasteful number, since it uses less digits than its factorization.

1046537428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 1046537428992 in words is "one trillion, forty-six billion, five hundred thirty-seven million, four hundred twenty-eight thousand, nine hundred ninety-two".