Search a number
-
+
107480356380 = 2234566345899
BaseRepresentation
bin110010000011001010…
…1000001011000011100
3101021102111020211010000
41210012111001120130
53230104432401010
6121213101014300
710523314645455
oct1440625013034
9337374224100
10107480356380
114164494a611
12189b6b54390
13a19b4b0617
1452b86dc12c
152be0cdb7c0
hex190654161c

107480356380 has 60 divisors (see below), whose sum is σ = 337169863800. Its totient is φ = 28661427936.

The previous prime is 107480356343. The next prime is 107480356381. The reversal of 107480356380 is 83653084701.

107480356380 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 8 + 0 + 3 + 5 + 638 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107480356381) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33171330 + ... + 33174569.

It is an arithmetic number, because the mean of its divisors is an integer number (5619497730).

Almost surely, 2107480356380 is an apocalyptic number.

107480356380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107480356380 is an abundant number, since it is smaller than the sum of its proper divisors (229689507420).

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

107480356380 is a wasteful number, since it uses less digits than its factorization.

107480356380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66345920 (or 66345909 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 107480356380 in words is "one hundred seven billion, four hundred eighty million, three hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 66345899 132691798 199037697 265383596 331729495 398075394 597113091 663458990 796150788 995188485 1194226182 1326917980 1791339273 1990376970 2388452364 2985565455 3582678546 3980753940 5374017819 5971130910 7165357092 8956696365 10748035638 11942261820 17913392730 21496071276 26870089095 35826785460 53740178190 107480356380