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105004008174 = 23131970852907
BaseRepresentation
bin110000111001010111…
…0100000001011101110
3101001000220120021222210
41201302232200023232
53210022011230144
6120123240151250
710405045225422
oct1416256401356
9331026507883
10105004008174
114059403054a
1218425768526
139b95442820
145121886b82
152ae86d3ab9
hex1872ba02ee

105004008174 has 32 divisors (see below), whose sum is σ = 238065770880. Its totient is φ = 30608455392.

The previous prime is 105004008173. The next prime is 105004008181. The reversal of 105004008174 is 471800400501.

It is a super-2 number, since 2×1050040081742 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105004008173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35424972 + ... + 35427935.

It is an arithmetic number, because the mean of its divisors is an integer number (7439555340).

Almost surely, 2105004008174 is an apocalyptic number.

105004008174 is an abundant number, since it is smaller than the sum of its proper divisors (133061762706).

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

105004008174 is a wasteful number, since it uses less digits than its factorization.

105004008174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70852944.

The product of its (nonzero) digits is 4480, while the sum is 30.

Adding to 105004008174 its reverse (471800400501), we get a palindrome (576804408675).

The spelling of 105004008174 in words is "one hundred five billion, four million, eight thousand, one hundred seventy-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 70852907 141705814 212558721 425117442 921087791 1346205233 1842175582 2692410466 2763263373 4038615699 5526526746 8077231398 17500668029 35001336058 52502004087 105004008174