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106574043104 = 2523473080887
BaseRepresentation
bin110001101000001001…
…1101101011111100000
3101012002022212100000122
41203100103231133200
53221230423334404
6120543123335412
710462001263634
oct1432023553740
9335068770018
10106574043104
114121a2a5a81
12187a3521568
13a0857b6489
1452301badc4
152b8b4643be
hex18d04ed7e0

106574043104 has 48 divisors (see below), whose sum is σ = 223598527488. Its totient is φ = 49885706112.

The previous prime is 106574043089. The next prime is 106574043109. The reversal of 106574043104 is 401340475601.

It is a super-2 number, since 2×1065740431042 (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 (106574043109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1505852 + ... + 1575035.

It is an arithmetic number, because the mean of its divisors is an integer number (4658302656).

Almost surely, 2106574043104 is an apocalyptic number.

It is an amenable number.

106574043104 is an abundant number, since it is smaller than the sum of its proper divisors (117024484384).

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

106574043104 is a wasteful number, since it uses less digits than its factorization.

106574043104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080967 (or 3080959 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 106574043104 in words is "one hundred six billion, five hundred seventy-four million, forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 184 188 368 376 736 752 1081 1504 2162 4324 8648 17296 34592 3080887 6161774 12323548 24647096 49294192 70860401 98588384 141720802 144801689 283441604 289603378 566883208 579206756 1133766416 1158413512 2267532832 2316827024 3330438847 4633654048 6660877694 13321755388 26643510776 53287021552 106574043104