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8540973012 = 223111312739191
BaseRepresentation
bin1111111010001010…
…01110011111010100
3211001020100101100210
413331011032133110
5114442442114022
63531302405420
7421440033645
oct77505163724
924036311323
108540973012
11369317a490
1217a4430870
13a616428b0
145b04876cc
1534ec58a0c
hex1fd14e7d4

8540973012 has 96 divisors (see below), whose sum is σ = 23597973504. Its totient is φ = 2370211200.

The previous prime is 8540972983. The next prime is 8540973037. The reversal of 8540973012 is 2103790458.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198337 + ... + 237527.

It is an arithmetic number, because the mean of its divisors is an integer number (245812224).

Almost surely, 28540973012 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 8540973012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11798986752).

8540973012 is an abundant number, since it is smaller than the sum of its proper divisors (15057000492).

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

8540973012 is a wasteful number, since it uses less digits than its factorization.

8540973012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39349 (or 39347 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 8540973012 is about 92417.3847931221. The cubic root of 8540973012 is about 2044.1014667583.

The spelling of 8540973012 in words is "eight billion, five hundred forty million, nine hundred seventy-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 127 132 143 156 254 286 381 429 508 572 762 858 1397 1524 1651 1716 2794 3302 4191 4953 5588 6604 8382 9906 16764 18161 19812 36322 39191 54483 72644 78382 108966 117573 156764 217932 235146 431101 470292 509483 862202 1018966 1293303 1528449 1724404 2037932 2586606 3056898 4977257 5173212 5604313 6113796 9954514 11208626 14931771 16812939 19909028 22417252 29863542 33625878 54749827 59727084 64704341 67251756 109499654 129408682 164249481 194113023 218999308 258817364 328498962 388226046 656997924 711747751 776452092 1423495502 2135243253 2846991004 4270486506 8540973012