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1642104128 = 2674617951
BaseRepresentation
bin110000111100000…
…1000010101000000
311020102220112101102
41201320020111000
511330334313003
6430535553532
755456440410
oct14170102500
94212815342
101642104128
11772a1a155
12399b2b8a8
13202288262
14118134640
1599269588
hex61e08540

1642104128 has 56 divisors (see below), whose sum is σ = 3732605184. Its totient is φ = 702144000.

The previous prime is 1642104119. The next prime is 1642104133. The reversal of 1642104128 is 8214012461.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1642104128.

It is a congruent number.

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, 202553 + ... + 210503.

It is an arithmetic number, because the mean of its divisors is an integer number (66653664).

Almost surely, 21642104128 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 1642104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866302592).

1642104128 is an abundant number, since it is smaller than the sum of its proper divisors (2090501056).

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

1642104128 is an equidigital number, since it uses as much as digits as its factorization.

1642104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8431 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1642104128 is about 40522.8840039798. The cubic root of 1642104128 is about 1179.7778304316. Note that the first 3 decimals are identical.

Adding to 1642104128 its reverse (8214012461), we get a palindrome (9856116589).

The spelling of 1642104128 in words is "one billion, six hundred forty-two million, one hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 461 922 1844 3227 3688 6454 7376 7951 12908 14752 15902 25816 29504 31804 51632 55657 63608 103264 111314 127216 206528 222628 254432 445256 508864 890512 1781024 3562048 3665411 7330822 14661644 25657877 29323288 51315754 58646576 102631508 117293152 205263016 234586304 410526032 821052064 1642104128