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1132972905744 = 2434295672
BaseRepresentation
bin10000011111001010011…
…100101001010100010000
311000022101211101221010000
4100133022130221110100
5122030312030440434
62224251445210000
7144566060542041
oct20371234512420
94008354357100
101132972905744
113a754473a119
121636b2400900
1382aba0593a4
143cb9c6a48c8
151e7105bab99
hex107ca729510

1132972905744 has 75 divisors (see below), whose sum is σ = 3279263200807. Its totient is φ = 377644862304.

The previous prime is 1132972905733. The next prime is 1132972905781. The reversal of 1132972905744 is 4475092792311.

The square root of 1132972905744 is 1064412.

It is a perfect power (a square), and thus also a powerful number.

1132972905744 is a `hidden beast` number, since 1 + 13 + 297 + 290 + 57 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 38304049 + ... + 38333615.

Almost surely, 21132972905744 is an apocalyptic number.

1132972905744 is the 1064412-nd square number.

It is an amenable number.

1132972905744 is an abundant number, since it is smaller than the sum of its proper divisors (2146290295063).

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

1132972905744 is an frugal number, since it uses more digits than its factorization.

1132972905744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59154 (or 29572 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1132972905744 in words is "one trillion, one hundred thirty-two billion, nine hundred seventy-two million, nine hundred five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 29567 59134 88701 118268 177402 236536 266103 354804 473072 532206 709608 798309 1064412 1419216 1596618 2128824 2394927 3193236 4257648 4789854 6386472 9579708 12772944 19159416 38318832 874207489 1748414978 2622622467 3496829956 5245244934 6993659912 7867867401 10490489868 13987319824 15735734802 20980979736 23603602203 31471469604 41961959472 47207204406 62942939208 70810806609 94414408812 125885878416 141621613218 188828817624 283243226436 377657635248 566486452872 1132972905744