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1642145148 = 2232719342971
BaseRepresentation
bin110000111100001…
…0010010101111100
311020102222121122200
41201320102111330
511330342121043
6430540511500
755460001120
oct14170222574
94212877580
101642145148
11772a47a56
12399b4b590
132022a0b27
14118145580
15992767d3
hex61e1257c

1642145148 has 72 divisors (see below), whose sum is σ = 4993672320. Its totient is φ = 444489120.

The previous prime is 1642145119. The next prime is 1642145207. The reversal of 1642145148 is 8415412461.

1642145148 is a `hidden beast` number, since 1 + 642 + 1 + 4 + 5 + 1 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166698 + ... + 176273.

It is an arithmetic number, because the mean of its divisors is an integer number (69356560).

Almost surely, 21642145148 is an apocalyptic number.

1642145148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1642145148 is an abundant number, since it is smaller than the sum of its proper divisors (3351527172).

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

1642145148 is a wasteful number, since it uses less digits than its factorization.

1642145148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343007 (or 343002 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1642145148 is about 40523.3901345877. The cubic root of 1642145148 is about 1179.7876540238.

The spelling of 1642145148 in words is "one billion, six hundred forty-two million, one hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 342971 685942 1028913 1371884 2057826 2400797 3086739 4115652 4801594 6173478 6516449 7202391 9603188 12346956 13032898 14404782 19549347 21607173 26065796 28809564 39098694 43214346 45615143 58648041 78197388 86428692 91230286 117296082 136845429 182460572 234592164 273690858 410536287 547381716 821072574 1642145148