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1039970249472 = 283711191138191
BaseRepresentation
bin11110010001000110000…
…11101010101100000000
310200102100022111110221010
433020203003222230000
5114014324340440342
62113431123400520
7135064301160420
oct17104303525400
93612308443833
101039970249472
1137105a103a20
12149677b23140
13770b813282b
1438498aac480
151c0ba82329c
hexf2230eab00

1039970249472 has 576 divisors, whose sum is σ = 3665024778240. Its totient is φ = 253609574400.

The previous prime is 1039970249459. The next prime is 1039970249501. The reversal of 1039970249472 is 2749420799301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126960897 + ... + 126969087.

It is an arithmetic number, because the mean of its divisors is an integer number (6362890240).

Almost surely, 21039970249472 is an apocalyptic number.

1039970249472 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 1039970249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832512389120).

1039970249472 is an abundant number, since it is smaller than the sum of its proper divisors (2625054528768).

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

1039970249472 is a wasteful number, since it uses less digits than its factorization.

1039970249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8360 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 1039970249472 in words is "one trillion, thirty-nine billion, nine hundred seventy million, two hundred forty-nine thousand, four hundred seventy-two".