Search a number
-
+
42672231972 = 22333112745589
BaseRepresentation
bin100111101111011101…
…101001011000100100
311002010220022222122000
4213233131221120210
51144343042410342
631334154005300
73040312662366
oct475735513044
9132126288560
1042672231972
11171083a9517
12832aa16830
134040895c06
1420cb452d36
15119b3d444c
hex9ef769624

42672231972 has 48 divisors (see below), whose sum is σ = 114200486400. Its totient is φ = 13765235040.

The previous prime is 42672231961. The next prime is 42672231997. The reversal of 42672231972 is 27913227624.

42672231972 is a `hidden beast` number, since 4 + 267 + 2 + 2 + 319 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6369447 + ... + 6376142.

It is an arithmetic number, because the mean of its divisors is an integer number (2379176800).

Almost surely, 242672231972 is an apocalyptic number.

It is an amenable number.

42672231972 is an abundant number, since it is smaller than the sum of its proper divisors (71528254428).

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

42672231972 is a wasteful number, since it uses less digits than its factorization.

42672231972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12745633 (or 12745625 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 42672231972 in words is "forty-two billion, six hundred seventy-two million, two hundred thirty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 12745589 25491178 38236767 50982356 76473534 114710301 152947068 229420602 344130903 395113259 458841204 688261806 790226518 1185339777 1376523612 1580453036 2370679554 3556019331 4741359108 7112038662 10668057993 14224077324 21336115986 42672231972