Search a number
-
+
107404020045 = 32574152315901
BaseRepresentation
bin110010000000111000…
…1110100100101001101
3101021020011121112100100
41210001301310211031
53224430412120140
6121201332521313
710521400051530
oct1440161644515
9337204545310
10107404020045
1141605850a33
1218995480239
13a1887339aa
1452ac50aa17
152bd925d530
hex1901c7494d

107404020045 has 96 divisors (see below), whose sum is σ = 218382038784. Its totient is φ = 47806848000.

The previous prime is 107404020041. The next prime is 107404020077. The reversal of 107404020045 is 540020404701.

107404020045 is a `hidden beast` number, since 10 + 7 + 404 + 0 + 200 + 45 = 666.

It is not a de Polignac number, because 107404020045 - 22 = 107404020041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107404020041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6746595 + ... + 6762495.

It is an arithmetic number, because the mean of its divisors is an integer number (2274812904).

Almost surely, 2107404020045 is an apocalyptic number.

107404020045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107404020045 is an abundant number, since it is smaller than the sum of its proper divisors (110978018739).

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

107404020045 is a wasteful number, since it uses less digits than its factorization.

107404020045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16483 (or 16480 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 107404020045 its reverse (540020404701), we get a palindrome (647424424746).

The spelling of 107404020045 in words is "one hundred seven billion, four hundred four million, twenty thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 523 615 861 1435 1569 1845 2583 2615 3661 4305 4707 7845 10983 12915 15901 18305 21443 23535 32949 47703 54915 64329 79505 107215 111307 143109 150101 164745 192987 238515 321645 333921 450303 556535 651941 715545 750505 964935 1001763 1350909 1669605 1955823 2251515 3259705 4563587 5008815 5867469 6754545 8316223 9779115 13690761 22817935 24948669 29337345 41072283 41581115 58213561 68453805 74846007 124743345 174640683 205361415 291067805 340965143 374230035 523922049 873203415 1022895429 1704825715 2386756001 2619610245 3068686287 5114477145 7160268003 11933780005 15343431435 21480804009 35801340015 107404020045