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1046311136420 = 22511192326341381
BaseRepresentation
bin11110011100111010000…
…00001110110010100100
310201000201012222220120212
433032131000032302210
5114120321122331140
62120400234514552
7135410364626324
oct17163500166244
93630635886525
101046311136420
113738133a5160
1214a947595a58
1377888a13844
14388dac95284
151c33c344765
hexf39d00eca4

1046311136420 has 192 divisors, whose sum is σ = 2642939228160. Its totient is φ = 343460620800.

The previous prime is 1046311136413. The next prime is 1046311136449. The reversal of 1046311136420 is 246311136401.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 25264130 + ... + 25305510.

It is an arithmetic number, because the mean of its divisors is an integer number (13765308480).

Almost surely, 21046311136420 is an apocalyptic number.

1046311136420 is a gapful number since it is divisible by the number (10) 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 1046311136420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321469614080).

1046311136420 is an abundant number, since it is smaller than the sum of its proper divisors (1596628091740).

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

1046311136420 is a wasteful number, since it uses less digits than its factorization.

1046311136420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41706 (or 41704 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1046311136420 in words is "one trillion, forty-six billion, three hundred eleven million, one hundred thirty-six thousand, four hundred twenty".