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1632140055405 = 325533372030669
BaseRepresentation
bin10111110000000011001…
…000001101001101101101
312210000211122110110110200
4113300003020031031231
5203220110323233110
63245443401424113
7225626644365336
oct27600310151555
95700748413420
101632140055405
1157a206569852
122243a049b039
13babaa791ac2
1458dd304b28d
152c6c80386c0
hex17c0320d36d

1632140055405 has 48 divisors (see below), whose sum is σ = 2890975529520. Its totient is φ = 851515951104.

The previous prime is 1632140055391. The next prime is 1632140055433. The reversal of 1632140055405 is 5045500412361.

1632140055405 is a `hidden beast` number, since 1 + 63 + 2 + 1 + 40 + 0 + 554 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35803829961 + 1596336225444 = 189219^2 + 1263462^2 .

It is not a de Polignac number, because 1632140055405 - 217 = 1632139924333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1632140055405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211590 + ... + 1819079.

It is an arithmetic number, because the mean of its divisors is an integer number (60228656865).

Almost surely, 21632140055405 is an apocalyptic number.

1632140055405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1632140055405 is a deficient number, since it is larger than the sum of its proper divisors (1258835474115).

1632140055405 is a wasteful number, since it uses less digits than its factorization.

1632140055405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031070 (or 2031067 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1632140055405 its reverse (5045500412361), we get a palindrome (6677640467766).

The spelling of 1632140055405 in words is "one trillion, six hundred thirty-two billion, one hundred forty million, fifty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 45 53 159 265 337 477 795 1011 1685 2385 3033 5055 15165 17861 53583 89305 160749 267915 803745 2030669 6092007 10153345 18276021 30460035 91380105 107625457 322876371 538127285 684335453 968629113 1614381855 2053006359 3421677265 4843145565 6159019077 10265031795 30795095385 36269779009 108809337027 181348895045 326428011081 544046685135 1632140055405