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1034394961152 = 28372311396379
BaseRepresentation
bin11110000110101101011…
…11101000010100000000
310122212221202121111011010
433003112233220110000
5113421420102224102
62111110001520520
7134506162045500
oct17032657502400
93585852544133
101034394961152
11369758a97323
12148580943140
137670a04b267
14380ca457a00
151bd91130d6c
hexf0d6be8500

1034394961152 has 432 divisors, whose sum is σ = 3330078259200. Its totient is φ = 283905699840.

The previous prime is 1034394961133. The next prime is 1034394961199. The reversal of 1034394961152 is 2511694934301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162153099 + ... + 162159477.

Almost surely, 21034394961152 is an apocalyptic number.

1034394961152 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 1034394961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665039129600).

1034394961152 is an abundant number, since it is smaller than the sum of its proper divisors (2295683298048).

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

1034394961152 is a wasteful number, since it uses less digits than its factorization.

1034394961152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6561 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 1034394961152 in words is "one trillion, thirty-four billion, three hundred ninety-four million, nine hundred sixty-one thousand, one hundred fifty-two".