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1141915751552 = 27157341316649
BaseRepresentation
bin10000100111011111011…
…110111001010010000000
311001011111001221120022102
4100213133132321102000
5122202120413022202
62232331105325532
7145333510510562
oct20473736712200
94034431846272
101141915751552
11400313743584
121653893368a8
13838b3a17b24
143d3aa27d332
151ea85757d02
hex109df7b9480

1141915751552 has 64 divisors (see below), whose sum is σ = 2290208499000. Its totient is φ = 567120912384.

The previous prime is 1141915751507. The next prime is 1141915751573. The reversal of 1141915751552 is 2551575191411.

It can be written as a sum of positive squares in 4 ways, for example, as 1133747930176 + 8167821376 = 1064776^2 + 90376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1141915751497 and 1141915751506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68579324 + ... + 68595972.

Almost surely, 21141915751552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141915751552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145104249500).

1141915751552 is an abundant number, since it is smaller than the sum of its proper divisors (1148292747448).

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

1141915751552 is a wasteful number, since it uses less digits than its factorization.

1141915751552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20233 (or 20221 counting only the distinct ones).

The product of its digits is 315000, while the sum is 47.

The spelling of 1141915751552 in words is "one trillion, one hundred forty-one billion, nine hundred fifteen million, seven hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2512 3413 5024 6826 10048 13652 16649 20096 27304 33298 54608 66596 109216 133192 218432 266384 436864 532768 535841 1065536 1071682 2131072 2143364 2613893 4286728 5227786 8573456 10455572 17146912 20911144 34293824 41822288 56823037 68587648 83644576 113646074 167289152 227292148 334578304 454584296 909168592 1818337184 3636674368 7273348736 8921216809 17842433618 35684867236 71369734472 142739468944 285478937888 570957875776 1141915751552