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1357239994176 = 263113193171127
BaseRepresentation
bin10011110000000001110…
…011101100011101000000
311210202021101111102202110
4103300001303230131000
5134214111414303201
62515301335215320
7200025446413023
oct23600163543500
94722241442673
101357239994176
11483669659000
1219b060b17540
139acaaabb391
14499956691ba
15254891dd6d6
hex13c01cec740

1357239994176 has 896 divisors, whose sum is σ = 4386591866880. Its totient is φ = 368831232000.

The previous prime is 1357239994163. The next prime is 1357239994237. The reversal of 1357239994176 is 6714999327531.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10686929025 + ... + 10686929151.

Almost surely, 21357239994176 is an apocalyptic number.

1357239994176 is a gapful number since it is divisible by the number (16) 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 1357239994176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193295933440).

1357239994176 is an abundant number, since it is smaller than the sum of its proper divisors (3029351872704).

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

1357239994176 is a wasteful number, since it uses less digits than its factorization.

1357239994176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its digits is 77157360, while the sum is 66.

The spelling of 1357239994176 in words is "one trillion, three hundred fifty-seven billion, two hundred thirty-nine million, nine hundred ninety-four thousand, one hundred seventy-six".