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1387832431969 = 137285992
BaseRepresentation
bin10100001100100001010…
…000100101010101100001
311220200020102120022000001
4110030201100211111201
5140214240100310334
62541321133300001
7202160532013534
oct24144120452541
94820212508001
101387832431969
11495638255345
121a4b7a334601
13a0b44b31c89
144b25864ca1b
1526179d3e714
hex14321425561

1387832431969 has 9 divisors (see below), whose sum is σ = 1398199138707. Its totient is φ = 1377542051664.

The previous prime is 1387832431963. The next prime is 1387832432003. The reversal of 1387832431969 is 9691342387831.

The square root of 1387832431969 is 1178063.

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

It can be written as a sum of positive squares in only one way, i.e., 815219381025 + 572613050944 = 902895^2 + 756712^2 .

It is not a de Polignac number, because 1387832431969 - 23 = 1387832431961 is a prime.

It is a super-2 number, since 2×13878324319692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1387832431969.

It is not an unprimeable number, because it can be changed into a prime (1387832431961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 161390332 + ... + 161398930.

Almost surely, 21387832431969 is an apocalyptic number.

1387832431969 is the 1178063-rd square number.

1387832431969 is the 589032-nd centered octagonal number.

It is an amenable number.

1387832431969 is a deficient number, since it is larger than the sum of its proper divisors (10366706738).

1387832431969 is an frugal number, since it uses more digits than its factorization.

1387832431969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17472 (or 8736 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 64.

Multiplying 1387832431969 by its sum of digits (64), we get a square (88821275646016 = 94245042).

It can be divided in two parts, 1387832 and 431969, that added together give a square (1819801 = 13492).

The spelling of 1387832431969 in words is "one trillion, three hundred eighty-seven billion, eight hundred thirty-two million, four hundred thirty-one thousand, nine hundred sixty-nine".

Divisors: 1 137 8599 18769 1178063 73942801 161394631 10130163737 1387832431969